Question
The respective ratio of the present ages of A and B is
4:5. The present age of C is 20% more than that of B. The sum of the present ages of A, B and C is 60 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 4x years and 5x years, respectively. Therefore, present age of C = 1.2 × 5 = 6x years According to the question, 4x + 5x + 6x = 60 15x = 60 Or, x = 60/15 = 4 Therefore, required ratio = (4x + 12):(5x + 12) = 28:32 = 7:8
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