Two numbers are known as first number and second number. 20% of the first number is 9 more than 30% of second number. The difference of two numbers is x more than the half of second number. x will be

M4maths Previous Puzzles

13 Jan 2015 Two Numbers Two numbers are known as first number and second number. 20% of the first number is 9 more than 30% of second number. The difference of two numbers is x more than the half of second number. x will be: OPtion
1) 25
2) 30
3) 35
4) 40
5) 45
6) 50
7) 55
8) 60
9) 65
10)70; Correct Option: 5 Best Solution (61)

Supriya Mondal 10 years AGO

let 1st number is y and 2nd number is z
then according to question we can write
(1/5)*y=9+(3/10)*z............................(i)
Again, from the question we can write
y-z=x+(z/2)
y=x+(3/2)*z
then we put value of y in equation (i) and get
(1/5)*x+(3/10)*z=9+(3/10)*z
so, x=45
So, option 5)45 is the right answer

Like? Yes (4) | No

Surit Datta 10 years AGO

Let the 1st number be a
2nd number be b
so,
(a/5-3b/10) = 9
from the above equation we get
2a-3b = 90
which implies
(a-b) = b/2 + 45
so according to the question x is 45
That's it.
Option 5.

Like? Yes (2) | No

Sravanthi 10 years AGO

20% of a=9+30% of b
a-b=x+0.5b
x=45

Like? Yes (2) | No

sai sindhu 10 years AGO

let a,b be he numbers
given (20/100)*a=9+(30/100)*b
i.e;a-(3/2)b=45------->1
also given a-b=x+b/2
i.e;a-(3/2)b=x------>2
on comparing, 1&2
x=45

Like? Yes (2) | No

Jaspalsingh Parmar 10 years AGO

Let 1 st and 2nd no. be p and q
1st condition
0.2p=0.3q+9----------(1)

2nd condition
p-s=x+(s/2)
p-(3/2s)=x

2p-3s=2x----------(2)

2x=90
x=45

Like? Yes (2) | No

Vinay Sipani 10 years AGO

Let the numbers be a and b

Given:
20a/100 = 9 + 30b/100
=> 2a - 3b = 90

Also,
a - b = x + b/2
=> 2a - 3b = 2x

Equating both, we have 2x = 90
=> x = 45

Like? Yes (1) | No

MRITUNJAY KUMAR 10 years AGO

Option)5

Like? Yes (1) | No

SREENIVASA RAO PALLAPU 10 years AGO

Let y is first number and z is second number
Given that
0.2y = 0.3z + 9 => 2y - 3z = 90
y - z = x + (z/2) => 2y - 3z = 2x
=>2x = 90 => x =45

Like? Yes (1) | No

Tark Patel 10 years AGO

In first condition,
Let two numbers are a and b
then 20 % of a = 30 % of b + 9

-> 2*a - 3*b = 90 ............(i)

In second condition,

a - b = (b/2) + x
-> 2*a - 3*b = 2*x .............(ii)

comparing (i) & (ii)
we get 2*x = 90 so x = 45

Like? Yes (1) | No

Abhishek Porwal 10 years AGO

20% of a=9+30% of b
a-b=x+0.5b
On solving both equations we get,
y=0 &
x=45

Like? Yes (1) | No

Md.Sultan Khichi 10 years AGO

Let the first num is a and 2nd num is b .
So according to the sum
20%*a-30%*b=9
2a-3b=90
Agn
a-b=x+b/2
2a-3b=2x
Comparing both equations we get
x=45
Ans ob 5

Like? Yes (1) | No

Sanu Panji 10 years AGO

say, a = 1st number and b = 2nd number
so
1st condition:
( 20a/100) - (30b/100) = 9
or, 2a - 3b = 90 --------------(1)
2nd condition:
a - b = (b/2) + x
or, 2a - 2b = b + 2x
or, 2a - 3b = 2x ---------------(2)
from (1) and (2) we get
2x = 90
or, x = 45
so option (5) is correct

Like? Yes (1) | No

RAKESH 10 years AGO

u/5 = 9 + 3v/10

or u - v = 45 + v/2

Like? Yes (1) | No

K SRILEKHA 10 years AGO

let the 2 no's be a,b
0.2a = 9+ 0.3b --------> 1
and a-b = x+0.5b ----------> 2
let us assume a=100
then b=36.667
put these values in 2 eqn then
x=45

Like? Yes (1) | No

ABHINAV PUSHPAM 10 years AGO

let number be p and q.
20*p/100-30*q/100=9
2p-3q=90........(1)

p-q=x+q/2
2p-3q=2x.........(2)
from 1 and 2 we get
2x=90
x=45.
option (5)

Like? Yes (1) | No

Ajinkya Kulkarni 10 years AGO

Like? Yes (1) | No

sravani 10 years AGO

let the numbers be a,b
Given 20/100 a =30/100 b + 9
a=3/2 b + 45
and
a - b = x + b/2
a - 3/2 b =x
3/2 b + 45 - 3/2 b = x
x=45.

Like? Yes (1) | No

Akhil Malhotra 10 years AGO

Let first number=a
Let second number =b
According to condition:
20% of a=30% of b+9
Solving it we get
2a-3b=90
2(a-b)-b=90

According to second condition
a-b=x+b/2

Putting in first condition
2x+b-b=90
2x=90
So x =45

Like? Yes (1) | No

MRITUNJAY 10 years AGO

let number be p and q.
20*p/100-30*q/100=9
2p-3q=90........(1)

p-q=x+q/2
2p-3q=2x.........(2)
from 1 and 2 we get
2x=90
x=45.
option (5)

Like? Yes (1) | No

Anjali 10 years AGO

0.2y-0.3=9
y-z=x+(1/2)z
on solving we get
2y-3z=2x
=> x=45

Like? Yes (1) | No

Jay parmar 10 years AGO

Let 1 st and 2nd no. be p and q
1st condition
0.2p=0.3q+9----------(1)

2nd condition
p-s=x+(s/2)
p-(3/2s)=x

2p-3s=2x----------(2)

2x=90
x=45

Like? Yes (1) | No

Arnic Roy Chowdhury 10 years AGO

3A/10 - X/5 =9
X=90
DIFF=90/2=45

Like? Yes (1) | No

ranjithreddy 10 years AGO

1st condition:
.2a-.3b=9
2nd condition:
a-b=x+b/2
on equating 1 and 2
we get 2x=90
x=45

Like? Yes (1) | No

guru 10 years AGO

Let the numbers be A and B.
20A/100 = 30B/100 +9
This yields A= 45+3/2 B
Now, A is greater than B.
So, A-B= B/2 +x
A- 3B/2 =x
45+3B/2 -3B/2 =x
x=45

Like? Yes (1) | No

Shreeom Singh 10 years AGO

a/5+9=3b/10.......eqn(1)
a-b+x=b/2........eqn(2)
on solving both enq.s we get,
2x=90
=> x=45
hence, x=45

Like? Yes (3) | No (2)

himanshu 10 years AGO

GT 20% of a= 30% of b + 9
=> a/5 - 3b/10 = 9 ---eqn 1
also a - b = b/2 + x
=> a - 3b/2 = x ---eqn2
balancing the factors of bothe eqns
x/5 = 9
=> x = 45

Like? Yes (1) | No

kvsnlr 10 years AGO

let first no be F and second number be S
given 0.2F-0.3S=9
then 0.2F-0.2S-0.1S=9
0.2(F-S)-0.1S=9
(F-S)-0.1/0.2S=0.9/0.2
(F-S)=45+0.5S

Like? Yes (1) | No

Gitanjali K 10 years AGO

0.2F.N-0.3S.N=9.....(1)
2F.N-3S,N=2x..........(2)

solving eq (1) & (2) we get x=45

Like? Yes (1) | No

ayush bagga 10 years AGO

Two no.s are F & S
20/100F=9+30/100S (1)
F-S=X+1/2S (2)
Solving Eqn 2-
F=45+3/2S (3)
By 2 & 3
we get X=45

Like? Yes (1) | No

Ankit Sharma 10 years AGO

2a-3b=90
2a-3b=-2x
Solve them

Like? Yes (1) | No

DurgaPrasad 10 years AGO

Let's just assume the 1st no: and 2nd no: is A and B
so from the ques :
1/5A=9+3/10B---------(1)
From the second part
A-B=X+1/2B
SO A-3/2B=X--------------(2)
Solve the 2 equations
ans is 45

Like? Yes (1) | No

sandeep kumar 10 years AGO

20% of a=9+30% of b
a-b=x+0.5b
x=45

Like? Yes (1) | No

Anusha 10 years AGO

Given 20% of f=9+30% of s
20f/100=9+(30s/100)
2f=90+3s
2f-3s=90.
Given f-s=x+(s/2)
f-s-(s/2)=x
2f-3s=2x
comparing 2f-3s=90 and 2f-3s=2x the x=90/2=45
so answer 45.

Like? Yes (1) | No

Meenakshi 10 years AGO

Let the first and second number be f and s
1st condition:
20%of f = 9+30%of s
=>f/5 = 3s/10+9
=>f/5-3s/10=9----->(1)
2nd condition:
f-s = x+1/2*s
=>f-3s/2=x----->(2)
Solve equ (1) and (2)
=>x=45
so,answer is 45
option 5)

Like? Yes (1) | No

arush gupta 10 years AGO

let the no. be a and b then (20a/100) - (30b/100)=9
20a -30b=900-------(1)
a-b=x +b/2
a- 3b/2=x------------(2)
multiplyng eq(2) by 20 we will get
20a-30b=20x---------(3)
from eq(1) comparing it is clear that
20x=900
x=45.ans

Like? Yes (1) | No

Arman Khan 10 years AGO

a/5=3b/10+9
and a-b=x+b/2
after solving x=45

Like? Yes (1) | No

Devendra Marghade 10 years AGO

If two numbers are 'a' & 'b', then
a*(20/100) =9+ b*(30/100) or 0.2a-0.3b=9 ---(i) &
a- b= x + (b/2) or 2a - 3b=2x ---(ii)
On solving (i) & (ii), x=45

Like? Yes (1) | No

gourav shukla 10 years AGO

2a/10=9+3b/10
2a-3b=90.........
a-b=x+b/2
a-b-b/2=x
(2a-3b)/2=x
90/2=x
45

Like? Yes (1) | No

khushboo goenka 10 years AGO

diff bw 1 and 2 nno is 0.5a-45=x
=0.5a

Like? Yes (1) | No

Ankit Sirohi 10 years AGO

let first number be f, and second be s,
so x=f-3s/2;
taking basic case of f=90 and s=30 we get x=90-90/2
x=45...option 5...is the answer....

Like? Yes (1) | No

Ankit Pandey 10 years AGO

Let Numbers are a & b
20% of a = 30% of b+ 9
on solving;
2a - 3b=90
from 2nd condition
a - b= X+b/2
on solving; 2a-3b= 2X
so 2X = 90
hence X=45

Like? Yes (1) | No

Ashu Tomar 10 years AGO

Let 20% of first number is 27
So first number is 135
And 30% of second number is 18
So second number is 60
The difference between them is 75 which is 45 more than half of second number (60)

Like? Yes (1) | No

NITHYA 10 years AGO

20%F=30%S+9

F/5=3S/10+9
2F-3S=90------->I

F-S=S/2+X
2F-3S=2X----------->2

FROM I&II,

2X=90

X=45

Like? Yes (1) | No

Mukul Abhijit Bhate 10 years AGO

let a & b be two no.s
0.2a+ 9=0.3b
a-b=x+0.5b
compare both equation
x=45

Like? Yes (1) | No

PRAJJWAL AGARWAL 10 years AGO

After solving both equations, I got x = 45.

Like? Yes (1) | No

sneha sri 10 years AGO

20m=900+30n
m-n=x+50n/100
x=45

Like? Yes (1) | No

Abhik Das 10 years AGO

Let A,B the two numbers
Simple according to the 1st condition the equation is-
(2*A-3*B)=90
And by using 2nd condition the equation is-
(2*A-3*B)=2*x
Equating right hand side we get
x=45

Like? Yes (1) | No

Anuj Rana 10 years AGO

Let first no. Be a and second no. Be b
Then,(20/100)*a=(9+(30/100)*b)
And (b/2)+x=a-b
Therefore, a=((3*b)/2)+x
Putting the value of a in (1)
((3*b)/10)+(x/5)=(90+(3*b))/10
=x=45

Like? Yes (1) | No

Pramod Gaikwad 10 years AGO

20% of a=9+30% of b
2a-3b=90..........1

a-b=x+b/2........2
from 1 and 2
2x=90
x=45
so option is 5)45

Like? Yes (1) | No

Abhinav 10 years AGO

let numbers be x and y
equation 1: 20% of x=30% of y+9
20x=30y+900
2x-3y=90
equation 2: x-y=x+y/2
y/2+y=0
y=0
solving both equation we get x=45

Like? Yes (1) | No

A M ANKIT KALLURAYA 10 years AGO

20% of a=9+30% of b
a-b=x+0.5b
x=45.
hence the answer

Like? Yes (1) | No

Mithun Kumar Kesari 10 years AGO

opp. 5 (x=45)
let two numbers are m and n.
given,
20/100*m - 30/100*n= 9 =>2m- 3n =90 -----------(1)

and m-n= x+ n/2 => m-3/2*n= x => 2m- 3n = 2x ------(2)

from equations 1 and 2, 2*x=90 => x=45 ans.

Like? Yes (1) | No

sabir ahmd 10 years AGO

let
the first no=a and
the second no=b,
20% of a=9+ 30% of b
or 2a-3b=90

again a-b=x+b/2
or 2x=2a-3b
or x = 45

Like? Yes (1) | No

Paras Jain 10 years AGO

x = 45 Ans.

Like? Yes (1) | No

Ankan Biswas 10 years AGO

Let first and second numbers be k and y respectively.
so, k/5 = 3y/10 + 9 ==>2k - 3y = 90
==>2k - 2y =90 + y ==> k-y= 45+y/2 .... (i)
Again, k-y = y/2+x ....(ii)
From (i) and (ii), x=45

Like? Yes (1) | No

Chandra chur anand 10 years AGO

=>20% *x=30% *y+9
=>x/5=3y/10+9
=>2x-y=90------- eqn 1
now x - y = x + y/2
or 2x+y=2x-2y----------eqn 2
frm eq1 and eq2
x+y=45 or y=45-x---- eq3
put eq3 into eq1
2x-(45-x)=90
3x=135
or x=45 ans...!!!!!

Like? Yes (1) | No

priya saha 10 years AGO

option 5 : 45

let frst no. be a
secnd no. be b
then by the conditions given above if we apply substitution method we get the ansr as 45

Like? Yes (1) | No

venkatesh v 10 years AGO

Let two numbers are A,B.
20% 0f A = 30% of B + 9
i.e 2A = 90+3B;----(1)
->difference A-B = x+B/2
i.e 2A = 2x+3B;-----(2)
Now let equation (1) and (2) similar, so
2x+3B = 90+3B
so x = 45.

Like? Yes (1) | No

Rohit Raj Sonha 10 years AGO

we take the first number 100, then 20 pecent 20

Like? Yes (1) | No

Anurag Dwivedi 10 years AGO

.2p=.3q+9
2p-3q=90
p-1.5q=45 (eq 1)
now from equation 2
p-q=45+.5q

Like? Yes (1) | No

NUPUR JHA 10 years AGO

Let the two numbers be a and b
a(0.2)= b(0.3) +9
i.e. 2a- 3b=90

Now,
a- b= x + (b/2)
i.e. 2a-3b = 2x

hence 2x= 90
x=45

Like? Yes (1) | No

Dimple

India

Punjab

Time: 00:01:33

Points

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Two numbers are known as first number and second number. 20% of the first number is 9 more than 30%

M4maths Previous Puzzles

13 Jan 2015 Two Numbers