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

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Manager
Joined: 30 Jan 2006
Posts: 126
Today Rose is twice as old as Sam and Sam is 3 years younger  [#permalink]

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16 Apr 2006, 19:38
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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: today-rose-is-twice-as-old-as-sam-and-sam-is-3-years-younger-131477.html

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Intern
Joined: 04 May 2004
Posts: 46
Location: India
Re: Today Rose is twice as old as Sam and Sam is 3 years younger  [#permalink]

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16 Apr 2006, 22:14
Another vote for II.

The differnce in ages remain the same even if you roll back or advance the time frame.
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Manager
Joined: 27 Mar 2006
Posts: 128
Re: Today Rose is twice as old as Sam and Sam is 3 years younger  [#permalink]

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17 Apr 2006, 10:42
II it is!
Intern
Joined: 07 Nov 2003
Posts: 27
Location: USA
Re: Today Rose is twice as old as Sam and Sam is 3 years younger  [#permalink]

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17 Apr 2006, 14:36
The answer will be both II and III

III because - lets say that sam is 5 yrs today; rose must be 10 yr today with tina's current age being 8 yrs. 4 yrs down their ages will be sam 9, rose 14 and tina 12. therefore rose will be oldeer than tina (as she is today).

Picking Numbers!!!
Manager
Joined: 04 Jan 2006
Posts: 55
Re: Today Rose is twice as old as Sam and Sam is 3 years younger  [#permalink]

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17 Apr 2006, 15:24
1
But III wont' work if Sam is 2 years old now.

Now
S=2
R=4
T=5

+4 years
S= 6
R=8
T=9
T<R
Math Expert
Joined: 02 Sep 2009
Posts: 55271
Re: Today Rose is twice as old as Sam and Sam is 3 years younger  [#permalink]

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30 Jul 2017, 21:11

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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: today-rose-is-twice-as-old-as-sam-and-sam-is-3-years-younger-131477.html

Notice that we are asked which of the following MUST be true not COULD be true.

Stem says that "Sam is 3 years younger than Tina" which naturally be exactly so ANY number of years from today. So, II is always true. Which means that the answer is B (II only), D (I and II only) or E (II and III only).

Analyze options I and III
I. Rose is twice as old as Sam.
III. Rose is older than Tina

Now, if today Rose is 4 years old, Sam is 2 years old and Tina is 5 years old then after 4 years Rose will be 8 years old, Sam is will be 6 years old and Tina will be 9 years old, so neither option I nor option III holds true.

OPEN DISCUSSION OF THIS QUESTION IS HERE: today-rose-is-twice-as-old-as-sam-and-sam-is-3-years-younger-131477.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: Today Rose is twice as old as Sam and Sam is 3 years younger   [#permalink] 30 Jul 2017, 21:11
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