a) 32 years
b) 36 years
c) 40 years
d) 48 years
Answer: c
Explanation:
$$\eqalign{
& {\text{Let}}\,{\text{the}}\,{\text{mother’s}}\,{\text{present}}\,{\text{age}}\,{\text{be}}\,x\,{\text{years}}{\text{.}} \cr
& {\text{Then,}}\,{\text{the}}\,{\text{person’s}}\,{\text{present}}\,{\text{age}} \cr
& = {\frac{2}{5}x} \,\,{\text{years}} \cr
& {\frac{2}{5}x + 8} = \frac{1}{2}\left( {x + 8} \right) \cr
& 2\left( {2x + 40} \right) = 5\left( {x + 8} \right) \cr
& x = 40 \cr} $$
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