Question
The respective ratio of the present ages of A and B is
3:2. The present age of C is 20% more than that of B. The sum of the present ages of A, B and C is 74 years. What will be the ratio of the ages of A and B after 12 years?Solution
Let the present ages of A and B be 3x years and 2x years, respectively. Therefore, present age of C = 1.2 × 2 = 2.4x years According to the question, 3x + 2x + 2.4x = 74 7.4x = 74 Or, x = 74/7.4 = 10 Therefore, required ratio = (3x + 12):(2x + 12) = 42:32 = 21:16
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