Latest GRE Aptitude Question SOLUTION: Six years ago, the ratio of the ages of Vimal and Saroj was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Saroj's age at present? A. 18 B. 17 C. 16

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(#M40035416) GRE Numerical Ability question Ages Keep an EYE

Six years ago, the ratio of the ages of Vimal and Saroj was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Saroj's age at present?

A. 18

B. 17

C. 16

D. 15

Asked In GRE suresh (10 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Devendra Marghade  (10 years ago)

C. 16

If Present age of Vimal=x & Saroj=y ,then
Ist Case: (x-6)/(y-6)=6/5 ,5x-6y=-6 ---(i) &
2nd Case: (x+4)/(y+4)=11/10, 10x-11y=4 ---(ii)
On solving (i) & (ii), x=18, y=16

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harshal agrawal  (10 years ago)

let their present ages be x & y
a/q
(x-6)/(y-6)=6/5
=> 5x-30=6y-36
=> 5x-6y=-6
=> 6y-5x=6 .... (i)
(x+4)/(y+4)=11/10
=> 10x+40=11y+44
=> 10x-11y=4 .... (ii)
solving (i) & (ii)
y=16 and x=18
hence saroj present age is 16

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sai keerthi mettu  (10 years ago)

let present age of vimal and saroj be v and s respectively.
from first condition, (v-6):(s-6)=6:5
=> (v-6)/(s-6)=6/5 ---------> equation 1
from second condition , (v+4):(s+4)=11:20
=> (v+4)/(s-6)=11/10 ---------->equation 2
cross multiplying and simplifying both equations

11s - 10v = -4
12s - 10v = 12
on subtracting
-------------------------
-s=-16
s = 16
so saroj present age is 16.

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Anil Raju Tummeda  (9 years ago)

lets take present ages of Vimal as V and Saroj as S

From First given sentence six years ago

(V-6)/(S-6)=6/5

=>by cross multiplying we get

6S-5V=6-----------------------------------(1)

from second sentence 4 years Hence(after)

(V+4)/(S+4)=11/10

11S-10V=-4--------------------------(2)

by sloving (1) &(2) we get S=16..
.
. . Age of Saroj is 16

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ankita parmar  (9 years ago)

age of vimal=x,and saroj=y
so according to question (x-6)/(y-6)=6/5 so,we ge 5x-6y=-6...(1)
(x+4)/(y+4)=11/10 so we get 10x-11y=4...(.2) after solving both equation we get x=18,y=16
ans=16

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asim  (8 years ago)

C. 16
let present age be V and S of Vimal and Saroj respectively.
Case 1: Six years ago
(V-6) / (S-6) = 6 / 5 => 5V - 30 = 6S - 36 ....................................( 1 )
Case 2 : 4 year hence
(V + 4) / (S+4) = 11 / 10 => 10V + 40 = 11S + 44 .........................................( 2 )

on solving we get , S = 16

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