Discussion
A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back ?
Answer: A
The boy was 13 five years ago.
The father's age when the son was born equals the son's present age, \(s\). The father is that much older than the son, so his present age is \(s + s = 2s\):
\[ \begin{aligned} 2s &= 36 \\ s &= 18 \end{aligned} \]
Five years ago the boy was \(18 - 5 = 13\). 18 would be his present age, which is not what is asked, and 15, 17 and 20 do not follow.
Check: the son is 18 and the father 36, and the father was 18 when the son was born, which matches what he says.
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