Q: What 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?

A 50
B 55
C 35
D 40
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Answer: A

 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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Problems on Ages

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