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Age

by manik11 » Tue Feb 23, 2016 5:41 am
Five years ago Jim was three times as old as Raoul was and Monica was six years older than Raoul was. If all three are still living in five years, which of the following must be true about their ages five years from now?

I. Monica is older than Jim.
II. Raoul is six years younger than Monica
III. The combined ages of Jim and Raoul are more than Monica's age.

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

OA : E

Hi Experts! I got this one right but I'm looking for an efficient way to approach this one.
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by GMATGuruNY » Tue Feb 23, 2016 5:45 am
Five years ago Jim was three times as old as Raoul was and Monica was six years older than Raoul was. If all three are still living in five years, which of the following must be true about their ages five years from now?

I. Monica is older than Jim.
II. Raoul is six years younger than Monica
III. The combined ages of Jim and Raoul are more than Monica's age.

A I only
B II only
C I and II
D I and III
E II and III
Test EXTREMES.

Case 1: 5 years ago R=1
Since Jim was times as old as Raoul was, J = 3*1 = 3.
Since Monica was 6 years older than Raoul, M = 1+6 = 7.

Ages 5 years from now:
R = 1+10 = 11.
J = 3+10 = 13.
M = 7+10 = 17.

In this case, I, II and III are all true.

Case 2: 5 years ago R=20
Since Jim was times as old as Raoul was, J = 3*20= 60.
Since Monica was 6 years older than Raoul, M = 20+6 = 26.

Ages 5 years from now:
R = 20+10 = 30.
J = 60+10 = 70.
M = 26+10 = 36.

In this case, only II and III are true.

Since only II and III are true in both cases, the correct answer is E.
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by DavidG@VeritasPrep » Tue Feb 23, 2016 6:02 am
If all three are still living in five years, which of the following must be true about their ages five years from now?
I'm just glad everyone's still alive in five years. Always a bummer when the GMAT forces us to confront our own mortality. :)
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by Brent@GMATPrepNow » Tue Feb 23, 2016 9:47 am
Follow-up question: What can we say about their ages if all three are dead?
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