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# 10 years ago, Samuel was twice as old as Hui. 10 years ago,

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Joined: 15 Aug 2005
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10 years ago, Samuel was twice as old as Hui. 10 years ago, [#permalink]  12 Oct 2005, 19:48
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10 years ago, Samuel was twice as old as Hui. 10 years ago, Narayan was twice as old as Samuel. 12 years ago, Samuel was three times as old as Hui. How old is Narayan?

A. 23
B. 26
C. 32
D. 18
E. 29
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Cheers, Rahul.

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Re: PS - Age [#permalink]  12 Oct 2005, 20:43
rahulraao wrote:
10 years ago, Samuel was twice as old as Hui. 10 years ago, Narayan was twice as old as Samuel. 12 years ago, Samuel was three times as old as Hui. How old is Narayan?

A. 23
B. 26
C. 32
D. 18
E. 29

Let x, y and z be the ages of S, H and N respectively.We have the following:
x-10=2(y-10)
x-12=3(y-12)
z-10=2(x-10)

From the first two equations, we get x=18
Substitute x=18 in the 3rd equation, we get z=26.
Thus, B.
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