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Father And Child

Problem

When I was 14 years old my father was 42 years old, which was three times my age. Now he is twice my age, how old am I?


Solution

Let f be the father's age and his child's age be c.

As the father is 42 minus 14 = 28 years older than the child, f = c + 28.

At the moment f = 2c, hence 2c = c + 28, and so c = 28. That is, the father's child is now 28 years old.

Problem ID: 77 (May 2002)     Difficulty: 1 Star

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