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If Sarah was 21 years old exactly 5 years ago, how old was

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by Jay@ManhattanReview » Mon Oct 21, 2019 8:57 pm
BTGmoderatorLU wrote:Source: Manhattan Prep

If Sarah was 21 years old exactly 5 years ago, how old was Larry exactly 9 years ago?

1) Larry is now twice Sarah's age.
2) Twelve years ago, Jill was 6 years older than Sarah and 20 years younger than Larry.

The OA is D
Say Sarah, now is S years old and Larry, now is L years old. Thus, we have S = 21 + 5 = 26. We have to get the value of L - 9.

Let's take each statement one by one.

1) Larry is now twice Sarah's age.

=> L = 2S = 2*26 = 54 => L - 9 = 52 - 9 = 43. Sufficient.

2) Twelve years ago, Jill was 6 years older than Sarah and 20 years younger than Larry.

J - 12 = (S - 12) + 6 => J = S + 6
Alos, J - 12 = L - 12 - 20 => J = L - 20

=> S + 6 = L - 20

L = S + 26 = 26 + 26 = 52 => L - 9 = 52 - 9 = 43. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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