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# Ross is 3 times as old as Sam, and Sam is 3 years older than

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Director
Joined: 01 May 2007
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Ross is 3 times as old as Sam, and Sam is 3 years older than [#permalink]  08 Sep 2007, 11:54
Ross is 3 times as old as Sam, and Sam is 3 years older than Tina. 2 years from now, Tina will drink from the Fountain of Youth, which will make her half as old as she was. If after drinking from the Fountain, Tina is 16 years old, how old is Ross right now?

Please try to solve and show work. Answer with explanation will follow.
Current Student
Joined: 28 Dec 2004
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Location: New York City
Schools: Wharton'11 HBS'12
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Re: Manhattan GMAT Question: Ages [#permalink]  08 Sep 2007, 12:10
jimmyjamesdonkey wrote:
Ross is 3 times as old as Sam, and Sam is 3 years older than Tina. 2 years from now, Tina will drink from the Fountain of Youth, which will make her half as old as she was. If after drinking from the Fountain, Tina is 16 years old, how old is Ross right now?

Please try to solve and show work. Answer with explanation will follow.

lets see...

R=3S

S=3+t

2 years from now..(t+2)=1/2 t or t+2=32 which means t=30 right now..

if thats the case S=33 , then R=99 years old
Director
Joined: 01 May 2007
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You are correct. I messed up this problem with a simple mistake at the end. Can you tell me where the flaw in my logic was?

I said that

(t+2)/2 = 16

So I canceled out and got...

(t+2)/1 = 8

so...

t+2 = 8

so t = 6

t=6 solves that equation, but doesn't not get us to 99. Can you tell me where my logic is failing? Why can't I cancel out in this situation?
Manager
Joined: 08 Oct 2006
Posts: 215
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jimmyjamesdonkey wrote:
You are correct. I messed up this problem with a simple mistake at the end. Can you tell me where the flaw in my logic was?

I said that

(t+2)/2 = 16

So I canceled out and got...

(t+2)/1 = 8

so...

t+2 = 8

so t = 6

t=6 solves that equation, but doesn't not get us to 99. Can you tell me where my logic is failing? Why can't I cancel out in this situation?

Jesus christ. How could you do the stuff in bold.
You have to multiply 2 and 16 rather than divide.
Thus t+2=32 , t=30
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