Seven times a given two digit number is equal to four times the number obtained by inter changing th

nishant kumar   11 years AGO

let the digit at ten\'s place= x
and the digit at unit\'s place =y
=>the number=10x+y
and the obtained on reversing the digit =10y+x
and the difference of the digit = x-y=3 ...(i)
ATQ
7(10x+y) = 4(10y+x)
70x+7y = 40y+4x
66x-33y=0
2x-y=0 ...(ii)
on solving equation (i)and(ii)
we get x=3 and y=6
so the required two digit number is 36

Like? Yes (10) | No   

Rats   11 years AGO

7(10x+y)=4(10y+x)
on solving we get
2x=y....(1)
since y is greater, So
y-x=3 putting (1)
2x-x=3
x=3, y=6
So number=10*3+6=36....Ans

Like? Yes (9) | No (3)  

Himanshu Kumar Gupta   11 years AGO

7*(10X+Y)= 4*(10Y+X)
AND X-Y = 3
BY SOLVING BOTH EQUQTION WE GET
X=3 AND Y = 6
SO, THE NO. IS 36

Like? Yes (5) | No (1)  

Laltu banerjee   11 years AGO

let digit xy
then y=x-3
7(xy)=4(yx)..........(1)
as the difference of digit 3
only option 2 6 9 may be true
by putting in eqn-1 only option 6 is true

Like? Yes (5) | No (2)  

Nirmalram   11 years AGO

given:1) 7(xy)=4(yx) where x tens place
y ones place
2)y-x=3=>y=x+3

so,7(x(x+3))=4((x+3)x)
=>(x(x+3))=4*((x+3)x)/7
[((x+3)x) should be divisible of 7]
trial, take the interchanging be 63,so,4*63/7

we get the number as 36,which satisfies the condition

Like? Yes (3) | No   

Sneha   11 years AGO

Ans: 6
From the question it is clearly said that difference between 2 num is 3
So,we consider options 2,6 and 9.
7(63)=4(36) cannot be possible since both the numbers on left hand side or greater than right side.
Now, we have left with 2 options
7(36)=4(63) i.e., 252

Like? Yes (3) | No   

Sagar Jinachandran   11 years AGO

let the 2 digit number be 10x+y
according to question
7(10x+y)=4(10y+x)
on simplification we get
66x-33y=0------(1)
similarly
x-y=3----(2)
solving 1 and 2 we get
y=6
x=3
there fore the number is
10(3)+6=30+6=36
36
option 6

Like? Yes (3) | No (1)  

Anantharaman   11 years AGO

Given: two digit numbers with difference between the digits 3

possible values: 25, 36, 47, 58, 69

assume the number is x and the intercahnged digits of the number is y

7*x=4*y

7*25=4*52 (not equal)
7*36=4*63 => 252 = 252 (equal)

other numbers (47, 58,69) can be ruled out with the ones digit not matching when multiplying by 7 and 4

7*47=4*74 (not equal)

7*58=4*85 (not equal)

7*69=4*96 (not equal)

So Answer is 36

Option 6

Like? Yes (2) | No   

kunwar prabhakar singh   11 years AGO

7(10x+y)=4(10y+x)
x-y=3
gives 36

Like? Yes (3) | No (1)  

Grishma Shah   11 years AGO

7(10x+y)=4(10y+x)
Then using X-y=3

x=3 and y=6

solving
7(36)=4(63)=252

Like? Yes (2) | No   

shamily.k   11 years AGO

36*7=252(since 7 times of no)
63*4=252(since 4 times of no and reverse of 36 is 63)
Both the ans is same.
And also the difference between 36 is 3(6-3=3)

Like? Yes (2) | No   

sridevi   11 years AGO

36*7=252(since 7 times of no)
63*4=252(since 4 times of no and reverse of 36 is 63)
Both the ans is same.
And also the difference between 36 is 3(6-3=3)

Like? Yes (2) | No   

malarvezhi.m   11 years AGO

36*7=252(since 7 times of no)
63*4=252(since 4 times of no and reverse of 36 is 63)
Both the ans is same.
And also the difference between 36 is 3(6-3=3)

Like? Yes (2) | No   

Md.Sultan Khichi   11 years AGO

Let the 10th place digit is x and unit place is y..
So the no. is 10x+y.
After interchanging the no. becomes 10y+x.
According to ques 7*(10x+y)=4*(10y+x)
y-x=3.
After solvng we get
x=3 and y=6.
No.=36.
Ans:36.obtn.6

Like? Yes (1) | No   

sanjay kumar saha   11 years AGO

from option it very easy to find out.
36; 6-3 is 3
and
7X36=4x63
7x4x9=4x9x7

Like? Yes (1) | No   

sujeet kumar keshri   11 years AGO

7(10x+y)=4(10y+x)
thus 2x=y .............1
and y-x =3 ...............2
solving 1 and 2
we get x=3 and y=6
number 36

Like? Yes (1) | No   

Devendra Marghade   11 years AGO

If the two digits of the number are x & y then, number=10x+y
7(10x+y)=4(10y+x),2x=y
Also y-x=3, so x=3,y=6
Number=10*3+6=36

Like? Yes (1) | No   

DINKAR BHARTI   11 years AGO

7*(10y+x)=4*(10x+y)
on solving this y=x/2
& x-y=3
on solving both these equations we get
x=6,y=3 hence no is 36

Like? Yes (1) | No   

SAGARIKA RAY   11 years AGO

7*36=4*63

Like? Yes (1) | No   

praneeth   11 years AGO

let the digits be x and y.tens place is y. units place is x.so the number is 10y+x.the reverse order is 10x+y.
given x-y=3.
7(10y+x)=4(10x+y)
70y+7x=40x+4y
66y=33x
2y-x=0
solving x-y=3
and 2y-x=0 we get
y=3 and x=6
so the number is 10*3+6=36

Like? Yes (2) | No (1)  

divya arya   11 years AGO

answer is 6...
7(10*x+y)=4(y*10+x)
y-x=3
solve this

Like? Yes (1) | No   

sravani   11 years AGO

7(10(x)+ x+3)=4(10(x+3) + x)
77x+21=44x+120
x=3
x+3=6

Like? Yes (1) | No   

kirthika   11 years AGO

7xy=4yx
so generally xy should be less than yx
so y-x=3
here consider 36
6-3=3
and 7*36=4*63

Like? Yes (1) | No   

Harshit Singh   11 years AGO

let the two digit no. be
10x+y
no. by interchanging its digit is 10y+x

7(10x+y)=4(10y+x)
70x+7y=40y+4x
66x=33y
2x=y
from x-y=3 == x=y+3
2x=y == 2y+6=y
y=3
so x=6
PUT X AND Y IN 10x+y
THE NUMBER IS 36

Like? Yes (1) | No   

Jacky shevkani   11 years AGO

Since the difference between the digits is 3
so we have 2 options
63 and 36
so answer is 36

Like? Yes (1) | No   

Manoji Kumar   11 years AGO

the diffrence of 63 is 3 and we interchange it it is 36

Like? Yes (1) | No   

Balakrishnan M   11 years AGO

Two digit number is "xy"
Seven times a given two digit number is equal to four times the number obtained by inter changing the digit
7(10x+y)=4(x+10y)
70x+7y=4x+40y
66x-33y=0
2x-y=0---(1)
The difference of the digit is 3
y-x=3---(2)
solve (1)&(2),
we get x=3,y=6
The required two digit number is 36.

Like? Yes (2) | No (1)  

vijay   11 years AGO

7(xy)=4(yx)-------1
x-y=3-------2
solve
xy=36

Like? Yes (1) | No   

krishnapriya   11 years AGO

Let the unit digit and 10's digit be x and y respectively. So, the number is 10y+x and when the number is reversed 10x+y.
x-y=3 ------(1)
Given, 7(10y+x)=4(10x+y)
(ie)2y-x=0 ---------(2)
Solving (1) and (2) we get, x=6 and y=3
Hence the number is 10y+x=10*3+6=36

Like? Yes (1) | No   

Sandeep R   11 years AGO

in options 1,3,4,5,7,8 the difference between the digits is not 3. So no need to consider it.

again 7 times of 63 is not going to be equal to 4 times of a lesser number i.e 36.

again 7 times of 69 has 3 in its units place .
while 4 times of 96 has 4 in its units place.
so can\'t be an option.

Now we are left with either option 6 or option 10.

now 7 times 36 = 252 and 4 times 63 =252 and the difference between the digits is 3.

hence the answer is option 6.

Like? Yes (1) | No   

SHERIN ABOOBEKER   11 years AGO

Since difference between digits is 3 certain options can be avoided.Take answers with difference between 2 digits as 3 and multiply with 7 and multiple with 4 by interchanging digits.observe the last digits

Like? Yes (1) | No   

Raunak MAnchanda   11 years AGO

Also by observing the options,check for numbers where difference is 3, 63 cannot be as it is large than 36 coz 7 times a large no will not be equal to 4 times small.
so 36 will be the right option

Like? Yes (1) | No   

Gunaseelan   11 years AGO

By checking the given options,
7*36 = 4*63
252 = 252
Answer is 36.

Like? Yes (1) | No   

Jasmeet Singh   11 years AGO

Let 2 digit no. be xy
Therefore,
-> 7(10x + y) = 4(10y + x)
-> 66x - 33y = 0
-> 2x - y = 0
-> y = 2x

and |x-y| = 3
-> |x-2x| = 3
-> |-x| = 3
-> |x| = 3

Therefore, y = 2*3 = 6

Hence, the no. is xy i.e. 36 (Option 6)

Like? Yes (1) | No   

ANGELIN ALFRED   11 years AGO

7(10X+Y)=4(10Y+X)
=>66X=33Y=>Y=2X
AND Y-X=3 =>Y=X+3
=> X=3
Y=6
=>36

Like? Yes (1) | No   

neetesh mehrotra   11 years AGO

7(36)=4(63)
6-3=3

Like? Yes (1) | No   

surya   11 years AGO

take a number 10a+b is two digit number
reverse of the number 10b+a
so that 7(10a+b)=4(10b+a)
diff bw a and b is a-b=3
then required number is 63

Like? Yes (1) | No   

Varun Upadhyay   11 years AGO

Here 7*(10*x + y)=4*(10*y +x)
and x-y=3
which is satisfied by 36

Like? Yes (1) | No   

saisaranya   11 years AGO

36 is the answer option verification

Like? Yes (1) | No   

Ashok singh   11 years AGO

Let's assume number is xy
unit digit is y and ten digit is x
then given that:
7*(10*x+y) = 4*(10*y+x) - - - -(1)
and
x-y = 3 --- ---------------(2)
By solving these two equation
we get x = 3
and y = 6
7* 36 = 4*63 = 252

Like? Yes (1) | No   

cp   11 years AGO

7(36)=4(63)=252
6-3=3

Like? Yes (1) | No   

ashiwani kumar singh   11 years AGO

let first digit x and second is y

7(10x+y)=4(10y+x)

and

y-x=3

Like? Yes (1) | No   

KUNAL GAURAV   11 years AGO

Going through options.
We have 3 options only whose difference of digits is 3.
Checking that 7(10x+y) = 4(10y+x)
x being the tens place digit and y being the units place digit of the original number.
We get 36.

Like? Yes (1) | No   

RAVI GANGWAR   11 years AGO

7*36=4*63
252=252
6-3=3

Like? Yes (1) | No   

Durga kollati   11 years AGO

let x and y be two integer digits of a nuber
now 7(10x+y) = 4(10y+x)
70x+7y = 40y +4x
66x - 33y =0
2x - y =0
2x =y
and there is another condition difference b/w two digits is 3
y-x or x-y is equal to 3
possible option is y-x=3
by substituting 2x =y in this equation
2x-x=3
x=3
y=2x=2*3=6
so the number is 36

Like? Yes (1) | No   

Santan kumar   11 years AGO

let unit place digit is x then ten's place digit will be (x-3) since when we interchange digits obtained no should be greater than 1st one.
now 1st no obtained from digit is 10(x-3)+x=11x-30
and by interchanging the digit we get 10x+(x-3)=
11x-3

now A/c Q
7(11x-30)=4(11x-3)
we get
x=6 hence no will be 36

Like? Yes (1) | No   

Manju   11 years AGO

let the 2digit num be xy
the num formed is 10x+y and the num formed by interchanging the digits is 10y+x
then as per the question,
7(10x+y) = 4(10y+x)
by solvin we get, 2x=y.
n given that (x-y)~= 3
(x-2x)~=3
x=3 and y=6
hence d 2digit num is 36.

Like? Yes (1) | No   

SHIVANI PRAKASH   11 years AGO

let no. b xy
7(10x+y)=4(10y+x)
y-x=3
solving we get,x=3,y=6
no.=36

Like? Yes (1) | No   

Suriya Prakash   11 years AGO

we know the 9 different possible soln
let us consider the ans as 36
7*36=4n
N=63
The difference is 3

Like? Yes (2) | No (1)  

Arpit Srivastava   11 years AGO

checking by option we get,
36*7=63*4

Like? Yes (1) | No   

shankar   11 years AGO

let our number be 10x+y
Then,
7(10x+y)=4(10y+x)
70x+7y=40y+4x
66x-33y=0
2x-y=0------------(1)
and it is given that the difference between numbers is 3. so,
y-x=3
2y-2x=6 ------------(2)
ON ADDING (1) AND (2)
y=6;
x=3;

Like? Yes (1) | No   

NITESH DAS   11 years AGO

2,3,4,4,5..,multiply with 7 which has two digit and there 2 digit difference =3 is also inverse the digit which also divisible with 4 and 2 digit difference will be 3.

Like? Yes (1) | No   

jatin patware   11 years AGO

option 6 satisfies the given condition obviously.

Like? Yes (1) | No   

Ankit Pandey   11 years AGO

36*7=252
63*4=252
difference between 6 and 3 = 3
hence answer no.is 6

Like? Yes (1) | No   

Totan Shit   11 years AGO

let two digit no is=xy
from ques. 7(10x+y)=4(10y+x)........(1)
so y=2x
again from ques. x~y=3..............(2)
solve the equs
x=3
y=6
so the no is 36(Ans)

Like? Yes (1) | No   

mohini gupta   11 years AGO

let the digits be x and y.
7*(10x+y)=4*(10y+x)
means x

Like? Yes (1) | No   

Venkateshwaran   11 years AGO

36 is the right ans bu solving from sol

Like? Yes (1) | No   

sudipta sadhukhan   11 years AGO

36*7=4*63
& 6-3=3.

Like? Yes (1) | No   

shradhya singh   11 years AGO

from 1st condition:
let the no.= 10x+y
7(10x+y)= 4(10y+x)
70x+7y=40y+4x
66x=33y
hence
2x=y
acc to 2nd cndition:
y-x=3 (1)
by putting the value of y in equ (1)
x=3 & y=6
so the no. is
36

Like? Yes (1) | No   

sobana karpagam   11 years AGO

in the above choices only 63,36,69 are having their diff as three.so by trial nd error we can find the ans as 36
6-3=3
7(36)=4(63)=252

Like? Yes (1) | No   

KALIDASS   11 years AGO

from the option take number that contains 3 as digit difference.Then the possible numbers are 63,36,69.
Within the above set of numbers 36 satisfies the above conditions.so ans is 36.

Like? Yes (2) | No (1)  

ShAg   11 years AGO

7*36 = 4*63 = 252
6-3 = 3

Like? Yes (1) | No   

sandy   11 years AGO

Given that 7[10x+y]=4[10y+x]
70x+7y=40y+4x
66x=33y
66x=33(x+3)[since given that y-x=3]
66x=33x+99
33x=99
x=3
given that y-x=3
therefore y=6
therefore ans is 36

Like? Yes (1) | No   

shubhangi gupta   11 years AGO

7*(10x+y)=4*(10y+x)
66x=33y
2x=y
and diff is 3

Like? Yes (1) | No   

Yallapu Uday tarun kumar   11 years AGO

7*x=4*y
10's digit-units digit=3
7*36=4*63=252

Like? Yes (1) | No   

naveen vaishnav   11 years AGO

1. (10x+y)7=(10y+x)4; 2x=y;
2. |x-y|=3;

Like? Yes (1) | No   

Rajani Kumari   11 years AGO

let ten's digit be x and ones digit be x+3
(since the difference between digits is 3)
hence the no. is
10x+(x+3)=11x+3
and reversing the digits the new no. is
10(x+3)+x=11x+30
now from given question we have equation as
7(11x+3)=4(11x+30)
77x-44x=120=21
33x=99
x=3
hence the no. will be 11*3+3=36

Like? Yes (1) | No   

KARUPPASAMY C   11 years AGO

36*7=252, 63*4=252,6-3=3 Ans=36

Like? Yes (2) | No (1)  

saranya   11 years AGO

7*36=252 and 4*63=252.
difference between the two digits 6 & 3 is 3
but other options does not satisfy the conditions

Like? Yes (1) | No   

Dilip B Gauswami   11 years AGO

if that
7xy=4yx
y-x=3
y=3+x
21+7x=12+4x
3x=-9
x=-3
if that x=3 positive value
x=3,y=6
36
7*36=4*63 same

Like? Yes (1) | No   

Nayan Agrawal   11 years AGO

its 36 only satisfy given question...............

Like? Yes (1) | No   

jangam ribka   11 years AGO

if we do 7*xy=4*yx,y-x=300 then go through option get 36 ans.

Like? Yes (2) | No (1)  

ATIQUR RAHMAN   11 years AGO

let x & y be two digit of a no. now from question
7(10x+y)=4(10y+x)
&
y-x=3
on solving this two eqn we get
x=3 & y=6
hence the no. is 36

Like? Yes (1) | No   

ankit patidar   11 years AGO

7(ab)=4(ba)
and
a-b=3
so...
7{10a+b}=4{10b+a}
put b=a+3
and solve u get a=3,b=6

Like? Yes (1) | No   

vijayaragavan   11 years AGO

36*7=252 63*4=252 6-3=3

Like? Yes (2) | No (1)  

ch.jyothsna   11 years AGO

let the digits be x and y then 7(10x+y)=4(10y+x)
and given y-x=3 solving these equations we get x=3 y=6
so number is 36

Like? Yes (1) | No   

FRANKLIN VIJAY   11 years AGO

7(10y+x)=4(10x+y)
on solving we get
2y-x=0 ......(1)
interchang difference is 3 so x-y=3......(2)
on solving 1 and 2 we get x=6 and y=3
on sub in 10y+x the number is 10(3)+6=36

Like? Yes (2) | No (2)  

Bingumalla Abinay   11 years AGO

3-6=3 difference

7*36=252
4*63=252

satisfies the all given conditions

Like? Yes (1) | No (1)  

Mayuresh Srivastava   11 years AGO

7(10x+y)=4(10y+x)
thus y=2x---(i) and y-x=3---(ii)
from (i) and (ii)
x=3, y=6.
so number=10x+y=36.

Like? Yes (1) | No (1)  

Mithlesh Prasad   11 years AGO

7(10x+y)=4(10y+x)
x-y=3
on solving,
therefore,x=3 and y=6

Like? Yes (1) | No (1)  

vigneshwari   11 years AGO

let the two digit number be 10x+y.
the number after interchanging the digits is 10y+x.
then, 7(10x+y) = 4(10y+x)=> 66x = 33y => 2x = y.
given that, y-x = 3
2x-x = 3 (put 2x=y).
x=3 then y=6.
required number = 10x+y = 36.

Like? Yes (1) | No (1)  

Rashmi bharti   11 years AGO

Let the digits are x and y,then
7*(x*10+y)=4*(y*10+x)
=>x/y=1/2=>x=y/2
Now,y-x=3
=>y-y/2=3
=>y=6 =>x=3
so,the number is 3*10+6=36.

Like? Yes (1) | No (1)  

ravi singh   11 years AGO

answer is 36

let no. is AB then
7*(10*A + B)=4*(A+10*B)

=>B=2A

and also given
B-A=3
=>2A-A=3
=>A=3
and B=6

hence no. is AB=36
hence option 6 is correct answer

Like? Yes (1) | No (1)  

Asiya Shazmi   11 years AGO

digits with difference 3 are 63,36,69
we can eliminate 63 and 69 because 63*7 and 4*36 are not equal and the same with 69.
given that,
36*7=252 and interchanging 36 we have 63, so,
63*4=252 and the difference between the digits 6 and 3 is 3.

Like? Yes (1) | No (1)  

Parthiban C   11 years AGO

let the digits be x,x+3
number=10x+x+3=11x+3,inter changed no=10(x+3)+x
then,7(11x+3)=4(10(x+3)+x),77x+21=44x+120
33x=99,x=3.
now ans is 36,check.7x36=4x63=252. so ans is 36

Like? Yes (3) | No (3)  

devendra kumar gond   11 years AGO

7(10x+y)=4(10y+x);
solving this we get y=2x;
and given that difference is x-y=3;
solving two given equation
we get x=-3;y=-6;
so no.is 36

Like? Yes (2) | No (3)