What is the ratio of the present ages of A and B? Statement I: Five years ago, A was twice as old as B. Statement II: Five years from now, A will be 1.5 times as old as B. Which statement(s) is/are sufficient to answer?

Question

Accepted Answer

Both statements together are needed (neither alone is sufficient). Each statement is one equation in two unknowns. Together, A - 5 = 2(B - 5) and A + 5 = 1.5(B + 5) give B = 15, A = 25, a ratio of 5 : 3.

What is the ratio of the present ages of A and B? Statement I: Five years ago, A was twice as old as B. Statement II: Five years from now, A will be 1.5 times as old as B. Which statement(s) is/are sufficient to answer?

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