Question
The respective ratio of the present ages of A and B is
5:6. The present age of C is 20% more than that of B. The sum of the present ages of A, B and C is 91 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 5x years and 6x years, respectively. Therefore, present age of C = 1.2 × 6 = 7.2x years According to the question, 5x + 6x + 7.2x = 91 18.2x = 91 Or, x = 91/18.2 = 5 Therefore, required ratio = (5x + 12):(6x + 12) = 37:42
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