Question
The respective ratio of the present ages of A and B is
5:3. The present age of C is 20% more than that of B. The sum of the present ages of A, B and C is 58 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 3x years, respectively. Therefore, present age of C = 1.2 Ć 3 = 3.6x years According to the question, 5x + 3x + 3.6x = 58 11.6x = 58 Or, x = 58/11.6 = 5 Therefore, required ratio = (5x + 12):(3x + 12) = 37:27
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