Susan’s Age

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If Susan's age is three times Tony's age, what is Susan's age?

(1) Two years ago, Susan's age was exactly 5 times Tony's age.

(2) Twelve years from now, Susan's age will be exactly 50% greater than Tony's age.

Review: Susan's Age




Explanation

If we assign variables to the ages, the prompt tells us . We are looking for S. On to the statements, evaluating separately first.

Statement (1) tells us that . Many people would have expressed this equation incorrectly, although it wouldn't hurt you on a Data Sufficiency question. We have two distinct equations of two variables, so we have sufficient information to solve completely.

Statement (2) tells us that . For the same reasons as above, Statement (2) is sufficient.

The correct answer is (D).


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