The age of A is one-third of the age of B. What are their ages? I. After 10 years, their age ratio will be 3:7. II. 10 years ago, their age ratio was 1:5.

I alone sufficient
II alone sufficient
Both required
Either sufficient

Correct answer: Either sufficient

Solution

Let A = x and B = 3x. Using statement I: (x+10)/(3x+10) = 3/7 gives a unique value of x. Using statement II: (x-10)/(3x-10) = 1/5 also gives a unique value of x. So either statement alone is sufficient.

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