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# Ages

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Intern
Joined: 25 Aug 2017
Posts: 3

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26 Aug 2017, 11:07
A said to B "I am 4 times as old as you were when I was one third of what your age will be 2 years from now".if the sum of their ages is 46 .find A's age

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Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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28 Aug 2017, 15:06
svbhavesh wrote:
A said to B "I am 4 times as old as you were when I was one third of what your age will be 2 years from now".if the sum of their ages is 46 .find A's age

Sent from my Nexus 5 using GMAT Club Forum mobile app

a: A's age, b: B's age
two years later B's age: b+2
one third what your age will be 2 years later: 1/3 (b+2)
difference: a - 1/3(b+2)
B's age when A was one third of what your age will be 2 years laer: b - ( a - 1/3(b+2) )
Thus we have a = 4 ( b - ( a - 1/3(b+2) ) )
a = 4b - 4a + 4/3 ( b + 2 )
15*a = 16*b + 9

a = 24, b = 22
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Re: Ages   [#permalink] 28 Aug 2017, 15:06
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# Ages

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