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a family has only one son. The father says "After x

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a family has only one son. The father says "After x [#permalink]

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New post 27 Jan 2018, 13:06
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Question Stats:

34% (02:00) correct 66% (02:23) wrong based on 44 sessions

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a family has only one son. The father says "After 'x' years, my age will be six times the age of my son". The mother says, "After X years, my age will be 4 times the age of my son". What will be the combined age (integer value) of the thee-member family after 'x' years ?

1. the age difference between the parents is 16 years.
2. After 'x' years the son will be twice as old as he is now
[Reveal] Spoiler: OA
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Re: a family has only one son. The father says "After x [#permalink]

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New post 27 Jan 2018, 17:33
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prince00113 wrote:
a family has only one son. The father says "After 'x' years, my age will be six times the age of my son". The mother says, "After X years, my age will be 4 times the age of my son". What will be the combined age (integer value) of the thee-member family after 'x' years ?

1. the age difference between the parents is 16 years.
2. After 'x' years the son will be twice as old as he is now.







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Hi..
Let the kids age be y..
So father's age = 6y and mother's age = 4y..
Combined age = 11y..
So we require value of y..

Statement I
Age difference in parents is 16...
So 6y-4y=16...2y=16...y=8
Sufficient

Statement II
After x years the son will be twice as of now..
We are still playing with variable..
Only new info y=x..
Insufficient

A
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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Re: a family has only one son. The father says "After x   [#permalink] 27 Jan 2018, 17:33
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