Four years ago, the ratio of A’s age to B’s age was 11:14 and four years later, their ages will be in the ratio 13:16. The present age of A is

Let the common multiplier for the ratio of their ages four years ago be x, making A's and B's ages at that time 11x and 14x, and their present ages 11x + 4 and 14x + 4. Four years later, their ages will be 11x + 8 and 14x + 8, yielding the ratio equation (11x + 8) / (14x + 8) = 13 / 16. Cross-multiplying gives 16(11x + 8) = 13(14x + 8), which simplifies to 176x + 128 = 182x + 104, resulting in x = 4. Therefore, A's present age is 11(4) + 4 = 48 years.

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