Latest GMAT Aptitude Question SOLUTION: a father is twice as old his son. 8 years ago their ages were in the ratio 8:3. find their present ages?

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(#M40009510) GMAT question Age problems Keep an EYE

a father is twice as old his son. 8 years ago their ages were in the ratio 8:3. find their present ages?

Asked In GMAT R.K (12 years ago)

Solved Pargat Pal Singh Read Solution (2)

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Pargat Pal Singh  (12 years ago)

F=2 S
(F-8)/(S-8) = 8/3
(2S-8)/(S-8)=8/3
6S-24 =8S-64
2S= 40
S=20
F=40

Is this solution Helpfull? Yes (7) | No (1)  

Vadivelan M  (12 years ago)

Present age of Father - 40
Present age of Son - 20

Explanation:
Let x be father age and y be son's age.
x = 2y ->1
(x-8)/(y-8) = 8/3 ->2
Solving 2, 3x-24 = 8y-64
=> x = (8y-40)/3
Substituting in 1, (8y-40)/3 = 2y
=> 8y-40 = 6y
=> 2y = 40
=> y = 20
Substituting in 1, x = 2*20 = 40

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