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The present age of the father of a boy is twice the age of the boy. Six years later the ratio of their…

Let the boy be x and the father 2x. Six years later \(\frac{2x+6}{x+6} = \frac{11}{6}\), so \(12x+36 = 11x+66\) and \(x = 30\). Checking, the ages become 66 and 36, which is…

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The present age of the father of a boy is twice the age of the boy. Six years later the ratio of their ages will be 11:6. Find the present age of the boy?

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Correct answer A

Let the boy be x and the father 2x. Six years later 2x+6x+6=116\frac{2x+6}{x+6} = \frac{11}{6}, so 12x+36=11x+6612x+36 = 11x+66 and x=30x = 30. Checking, the ages become 66 and 36, which is 11:6.

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