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# Suzette and Marlene are sisters. 10 years ago, Marlene was 3

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Senior Manager
Joined: 02 Oct 2005
Posts: 297
Followers: 1

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Suzette and Marlene are sisters. 10 years ago, Marlene was 3 [#permalink]  15 Oct 2005, 07:33
00:00

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(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Suzette and Marlene are sisters. 10 years ago, Marlene was 3
times as old as Suzette. 5 years ago, Marlene was twice as
old as Suzette. How old will Suzette be in 6 years?

A. 31
B. 15
C. 25
D. 21
E. 35
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

Kudos [?]: 192 [0], given: 0

M-10 = 3(S-10) --> M-10 = 3s -30 --> M = 3s-20 --(1)
M-5 = 2(S-5) --> M-5 = 2s-10 --> M = 2s - 5 -----(2)

S+6 = ??

Equating 1 and 2,

3s - 20 = 2s - 5
s = 15

s + 6 = 21 (D)
Senior Manager
Joined: 02 Oct 2005
Posts: 297
Followers: 1

Kudos [?]: 8 [0], given: 0

OA is D and here is the detailed explanation:

This problem can be solved algebraically. With the information given about Suzette (S) and Marlene (M), we can set up the following equations:

(S - 10)3 = M - 10
(S - 5)2 = M - 5

As you can tell, this problem will involve solving two linear equations with two unknowns. One way to solve this problem is to express one of the unknowns in terms of the other. So, in this problem:

(S - 10)3 = M - 10
3S - 30 = M - 10
M = 3S - 20

Now that we can substitute the expression of M into the next equation. We will then be able to solve for Suzette's age:

(S-5)2 = 3S - 20 - 5
2S - 10 = 3S - 25
2S + 15 = 3S
S = 15

Now we know that Suzette is 15. In 6 years, she will be 21.
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

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Re: PS: Ages [#permalink]  15 Oct 2005, 10:08
sudhagar wrote:
Suzette and Marlene are sisters. 10 years ago, Marlene was 3
times as old as Suzette. 5 years ago, Marlene was twice as
old as Suzette. How old will Suzette be in 6 years?

A. 31
B. 15
C. 25
D. 21
E. 35

Sorry for the crude diagram - hopefully you'll make something out of it
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crud.JPG [ 10.22 KiB | Viewed 377 times ]

Current Student
Joined: 29 Jan 2005
Posts: 5240
Followers: 23

Kudos [?]: 190 [0], given: 0

Two equations, two variables.

Late, but D.
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