Question
The ratio of the present ages of ‘X’ and ‘Y’ is
9:4. If the present age of ‘Y’ had been 12 years more, then his present age would have been 33⅓% less than that of ‘X’. Find the ratio of the ages of ‘X’ and ‘Y’, 15 years hence.Solution
Let the present age of ‘X’ and ‘Y’ be 9x and 4x, respectively. According to the question, (2/3) × 9x = 4x + 12 Or, 6x – 4x = 12 Or, 2x = 12 Or, x = 6 Therefore,
Age of ‘X’, 15 years hence = 9x + 15 = 54 + 15 = 69 years
Age of ‘Y’, 15 years hence = 4x + 15 = 24 + 15 = 39 years Required ratio = 69:39 = 23:13
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