The difference of two numbers is five sixth of their sum and the greater exceeds ten times the lesse

jitendra sharma   10 years AGO

suppose greater no is x and second y;
x-y=5/6(x+y)
6x-6y=5x+5y
x=11y------(1)
again
x/3=10+y/3
x=y+30----(2)
from (1)and (2)
x=33,y=3
then ans is 33 option 7)

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ravi singh   10 years AGO

let the greater no. is 'a' and smaller no. is 'b'
therefore
(a-b)=(5/6)*(a+b)
=>a=11*b

and also given that
a=10*b+3

by solving both equation
we get a=33 and b=3
therefore greater no. is 33

Like? Yes (3) | No   

kiruthika   10 years AGO

the diff between their number=5/6(of their sum) (x-y)=5/6(x+y)
6(x-y)=5(x+y)
6x-6y=5x+5y
x-11y=0.........(1)
then
greater exceeds ten times the lesser by 3 which means,suppose take y is smaller then we get ,
x-10y=3.........(2)
solving (1)and (2) we get
x=33,y=3
so the greatset number is 33.

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rajakumar   10 years AGO

x-y=5/6(x+y)----1 and x-10y=3----2
from 1 6x-6y-5x-5y=0=====>x-11y=0
from 2 x-10y=3
eq1-eq2======>y=3 substitute this value in eq1
x-11*3=0======>x=33

Like? Yes (2) | No   

Rats   10 years AGO

x-y=(5/6)(x+y).......(1)
x=10y+3..............(2)
on solving (1)&(2)
y=3 & x=33
hence, greater number is 33.

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susmit   10 years AGO

Let the smaller number be x.
So, greater number is 10x + 3.
So their sum is 11x + 3 and their difference is
9x + 3.
So 9x + 3 = 5/6 (11x + 3).
So 54x + 18 = 55x + 15.
So x = 3.
So greater number is 3*10+3 = 33.
Hence option no. 7.

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Vinay Sipani    10 years AGO

(x - y) = (5/6)*(x + y)
x = 10y + 3

=> x - 11y = 0 , x - 10y = 3
=> x = 33, y = 3

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Kalidindi Mounika   10 years AGO

From the question we can get two equations :
=> x-y = 5/6 [x+y] => x-11y =0 ------ (1)
=> x-10y = 3 -------------------------(2)
By solving 1 & 2 we will get
x=33 ; y= 3

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Pankaj   10 years AGO

let x be greater no. and y smaller
x-y=5/6(x+y)___________(1)
x-10y=3________________(2)
solving the two v get:
x=33,y=3______ANS

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Deepak Sharma   10 years AGO

Let greater no. is x. and lesser no. is y.
then by first condition of question:-
x-y=5/6(x+y)
x-11y=0............equation (1)
and now by second condition of question,
x=10y+3
x-10y=3....................equation(2)
by solving equation (1) & (2)
we get, x=33 & y=3
so option 7 is correct.

Like? Yes (1) | No   

Jasmine Khan   10 years AGO

let those two numbers are x & y and the greater number be x then,
x-y=5/6(x+y)
x=11y..........(1)
and x=10y+3.......(2)
by (1) and (2)
x=33 and y=3

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Jigyasa Kumar   10 years AGO

the two equations are x-y=5/6(x+y)
and y-10x = 3
we get x = 11y
so.y = 33 satisfies the second equation.

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Aarush Singh   10 years AGO

the two equations are x-y=5/6(x+y)
and y-10x = 3
we get x = 11y
so.y = 33 satisfies the second equation.

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Narendra Pargain   10 years AGO

x-y =5/6(x+y)...1
x-10y=3...2
on solving this equation.
greater no. will be 33

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ABHISHEK KUMAR MISHRA   10 years AGO

Let the x is greater no and y is lesser no
then x-y = 5/6(x+y).......(1)
and also x-10y = 3.........(2)
now solve (1) & (2) then
x=33, y=3 so our required answer is 33

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sandeep pandey   10 years AGO

x-y=5/6(x+y)..1
solving we get
x-11y=0
also given
x-10y=3....2
solving 1 & 2 we get y=3 and x=33
greater is 33 ans

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V CHANDRA SHEKHAR   10 years AGO

Here, x-y=5/6(x+y)
6x-6y=5x+5y
x=11y
x/y=11-eqn 1
then again,x=10y+3 - eqn 2
equating both equations we get
y=3 and x=33 ans

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sudhakar   10 years AGO

LET THE GREATEST NUMBER BE X AND SMALLEST BR Y
GIVEN THAT X-Y=5/6(X+Y)---1
AND ALSO
X=10Y+3 ---2

SUBSTITUTE EQUATION 2 IN 1
WE GET Y=3 AND X=33

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Chandni Maurya   10 years AGO

ans=(7).33
condition1: a-b=5/6(a+b)
condition2: 10b+3=a => b=(a-3)/10
put b in 1
a-(a-3)/10=5/6(a+(a-3)/10)
=>54a+18=55a-15
=>a=33

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preeti sinha   10 years AGO

x-y=5/6*(x+y)----eq 1
x=10y+3------eg2
solving eq1 and eq2
y=3
x=33
thus greatest number = 33

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krishna   10 years AGO

a-b=5/6(a+b)
a=10b+3
there for b=3,a=33

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MD KONAIN UDDIN   10 years AGO

x-y =5/6 x+y

x-10y =3

solve it

and get the anaswer x =33 and y =3

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Bingumalla Abinay   10 years AGO

a-b=5/6(a+b)
a=10b+3
sloving b=3 and a=33 which is answer

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priyanka semwal   10 years AGO

x-y=5/6(x+y) eq(1)
by solving-x=11y
x-10y=3 eq(2)
putting x=11y in eq(2)
11y-10y=3
y=3
hence by eq(1)
x=33

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Sachin Singh Gusain   10 years AGO

6(x-y)=5(x+y) gives x=11y
put this in x-10y=3 we get y=3
using y=3 we can easily get x=(10y+3)=33

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RagunathKC   10 years AGO

Let 2 num x,y;
x-y=(5/6)x+y;
cros multiply
6x-6y=5x+5y;
x=11y; //eq 1
x is multiples of 11.
{Given x (greater)exceed ten times lesser by 3}
x-3=10y; // subs eq 1
11y-3=10y;
y=3;
x=33;
ans 33.

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Shyoram   10 years AGO

The simplest way is
Question said ten times + 3 means
10X + 3
it means last digit of big number will be 3 for sure
answer option 7)

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kamlesh kumar vishwakarma   10 years AGO

let x is greater..
x-y=(5/6)(x+y).......(1)
x=10*y+3.........(2)
by solving these equation we get
x=33
y=3
answer is 33

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Anil Kumar Bharti   10 years AGO

Exp:
let get no=x and lesser no=y
by ques: x-y=(x+y)*5/6
=>x-11y=0 ---------(i)
and
x-10=3 ----------(ii)
After solving eqn. i & ii


x=33 Ans

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c varun   10 years AGO

6(x+y)=5(x-y)
x=10y+3
y=3
x=33

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Trisha   10 years AGO

x1-x2=5/6(x1+x2)
and x1-10x2=3
solving we get x1=33,x2=3

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ShAg   10 years AGO

Let x is the smaller number and y be the greater number, we get;
(y-x) = (5/6)(x+y) and
(y-10x) = 3

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Sumit Chopra   10 years AGO

x-y=5/6(x+y) so x=11y
and x-10y=3 s0 11y-10y=y=3 and hence x=33 the greater no.

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preeti choudhary   10 years AGO

Y-x=5/6(x+y)
Y=10x+3
In equ. First 10x+3-x=5/6(x+y)
9x+3=(5x+5y)/6
54x+18=5x+5y
49x=5y-18
49x=50x+15-18
-x=-3
X=3 And
Y=33.

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AVNLRedddy   10 years AGO

y-x=(5/6)(x+y)
y=10x+3
when solved, leads to y=33

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SNEHA   10 years AGO

Let the bigger no. be b and smaller no. be a.
ATQ,
eqn 1 is: b-a=5/6*(a+b)
eqn 2: b-10a=3
so,b=10a+3
substituting in eqn 1
=>(10a+3)-a=5/6*(a+10a+3)
=> 9a+3=5/6*(11a+3)
=>54a+18=55a+15
=>a=3
so,b=10*a+3
= 33

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Ann Mary Jolly   10 years AGO

Let the greater no. be a.
Then as given a = 10b+3
=> 9b+3 = 5/6 *(11b+3)
=> 54b+18 = 55b+15
=> b = 3
=> a = 10b+3 = 10*3+3 = 33

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Dipak Liladhar Patil   10 years AGO

x-y = 5/6(x+y)

x-10y=3

after solving two eqn: x=33 & y=3
so greater is 33.

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