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QWhat is the present age of Abhay's father if, in six years, Abhay's age will be three-sevenths of his father's age, and 10 years ago the ratio of their ages was 1:5?
ID: #4435
Problems on Ages
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Problems on AgesTopic
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Correct Answer: Option A
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Let A be Abhay's age 10 years ago and F be Abhay's father's age 10 years ago. Then, Abhay's age after 6 years = A + 10 + 6 = x + 16 Father's age after 6 years = F + 10 + 6 = 5x + 16 We can set up the following equation: x + 16 = 3/7 * (5x + 16) Solving this equation gives us: x = 8 Therefore, Abhay's father's present age = F + 10 = 5x + 10 = 5 * 8 + 10 = 50 years.
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