Age

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manik11: Master | Next Rank: 500 Posts; Posts: 113; Joined: Wed Dec 07, 2011 7:20 am; Thanked: 3 times

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.
Any input from you guys would be helpful.

Source: Beat The GMAT — Problem Solving | Tue Feb 23, 2016 5:41 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

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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DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members; Location: Boston, MA; Thanked: 1153 times; GMAT Score:770

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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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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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