Question
The ratio of the present ages of ‘A’ and ‘B’ is
8:3. If the present age of ‘B’ had been 10 years more, then his present age would have been 50% less than that of ‘A’. Find the ratio of the ages of ‘A’ and ‘B’, 10 years hence from now.Solution
Let the present age of ‘A’ and ‘B’ be 8x and 3x, respectively. According to the question, 0.5 × 8x = 3x + 10 Or, 4x – 3x = 10 Or, x = 10 Therefore,
Age of ‘A’, 10 years hence = 8x + 10 = 80 + 10 = 90 years
Age of ‘B’, 10 years hence = 3x + 10 = 30 + 10 = 40 years Required ratio = 90:40 = 9:4
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