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# Today Rose is twice as old as Sam and Sam is 3 years younger

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Manager
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Today Rose is twice as old as Sam and Sam is 3 years younger [#permalink]

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03 Apr 2006, 06:13
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Today Rose is twice as old as Sam and Sam is 3 years younger than Tina. If Rose, Sam and Tina are all alive 4 years from today, which of the following must be true on that day?

I) Rose is twice as old as Sam.
II) Sam is 3 years younger than Tina.
III) Rose is older than Tina.

(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III

Senior Manager
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Re: PS OG Q64 - Ages [#permalink]

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03 Apr 2006, 06:39
R=2S
S=t-3

r+4=2(s+4)
r=2s+4 = 2t -6 +4 = 2t -2
s+4=t+4-3
s=t-3
So, E
Director
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Re: PS OG Q64 - Ages [#permalink]

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03 Apr 2006, 06:41
macca wrote:
R=2S
S=t-3

r+4=2(s+4)
r=2s+4 = 2t -6 +4 = 2t -2
s+4=t+4-3
s=t-3
So, E

And what if Rose is 4 years old....

E cannot hold....
Senior Manager
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Re: PS OG Q64 - Ages [#permalink]

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03 Apr 2006, 06:56
SimaQ wrote:
macca wrote:
R=2S
S=t-3

r+4=2(s+4)
r=2s+4 = 2t -6 +4 = 2t -2
s+4=t+4-3
s=t-3
So, E

And what if Rose is 4 years old....

E cannot hold....

hmm...yeah I forgot about 0 age.

If rose is 10 days then sam is 5 days and tina is 3 years...so it's a B
Director
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03 Apr 2006, 07:02
Actually you do not have to think in day terms....

If Rose is 4 years today
Sam is 2 years
Tina is 5 years....

After 4 years.....

R=8 years
S=6 years
T=9 years
Manager
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Re: PS OG Q64 - Ages [#permalink]

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03 Apr 2006, 07:15
macca wrote:

hmm...yeah I forgot about 0 age.

If rose is 10 days then sam is 5 days and tina is 3 years...so it's a B

Yes I considered this also, but if Rose is twice as old as sam, and Sam is age "0", then how old is Rose??

Most troubling is that this is this is an OG question - you expect ETS to be unambiguous and clear with their questions.
IE- Sam is older than 1 year, etc...

What is OA?
Director
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03 Apr 2006, 11:04
Plug in at least 2 ages for Sam, where S = 10 or S = 0 and the only one that holds true is B. I would go with B.
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SVP
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03 Apr 2006, 11:18
Technically one's age has to be larger than 0 for one to be considered to be existing. (Therefore I don't consider this question as ambiguous.)

But you don't really have to care if it is age in years or in days.

For III:
R=2S
S=T-3

From this we know:

R=2(T-3)=2T-6

We want to know if R-T>0.

R-T=2T-6-T=T-6

The answer depends on whether T is greater than 6 years old. So if T is now 4 years old, for example, then we know that R is littler (2year old). If T is 7 years old now, then we know that R is older (8 year old). It really doesn't matter whether it is 4 years from now or not. However, III could be right or wrong from the beginning.
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Manager
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03 Apr 2006, 18:29
OA is B guys.
I too got E when I solved it. Only now, I understand why it is B and not E.
Thanks Sima and HongHu.
03 Apr 2006, 18:29
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