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The sum of the present ages of A and B is 60 years. Six years ago, A's age was three times B's age. What is A's present age (in years)?

Competition practiceAverages & Ages

A40
B45
C36
D42

Step-by-Step Solution

A + B = 60

and

A - 6 = 3 (B - 6)

gives

A = 3 B - 12

. Substituting,

4 B = 72

so

B = 18

and

A = 42

years.

Answer: D) 42

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