Question 28

The present age of a father is five times the age of his only son. After 10 years, the age of the father will be three times the age of his son. The present age of the father is

Solution

Let the son's age be $$s$$, so the father is $$5s$$. After 10 years, $$5s + 10 = 3(s + 10)$$, which gives $$2s = 20$$ and $$s = 10$$. The father's present age is $$5 \times 10 = 50$$ years.

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