GRE
Exam
Numerical Ability
Age Problem
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
Read Solution (Total 6)
-
- 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
- 10 years agoHelpfull: Yes(4) No(0)
- 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 - 10 years agoHelpfull: Yes(0) No(0)
- 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. - 10 years agoHelpfull: Yes(0) No(0)
- 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 - 10 years agoHelpfull: Yes(0) No(0)
- 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
- 9 years agoHelpfull: Yes(0) No(0)
- 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 - 9 years agoHelpfull: Yes(0) No(0)
GRE Other Question