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The sum of the present ages of A and B is 50 years. Five years ago, A was 3 times as old as B. Find the present age of A (in years).

Competition practiceAverages & Ages

A32
B40
C35
D30

Step-by-Step Solution

A + B = 50

and

A - 5 = 3 (B - 5)

gives

A = 3 B - 10

. Substituting:

4 B = 60

, so

B = 15

and

A = 35

.

Answer: C) 35

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