Question

The difference between the ages of a father and his son is $24$ years currently. Five years ago, the son's age was one-third of the father's age. Find the age of each.

Answer 1

Let the ages of father and son be $F,S$ respectively

Given that

$\Rightarrow F-S=24$

$\Rightarrow F=S+24$ ..$\left(1\right)$

$\Rightarrow \frac{1}{3}(F-5)=S-5$

$\Rightarrow F-5=3S-15$

$\Rightarrow S+24-5=3S-15$

$\Rightarrow 2S=34$

$\Rightarrow S=17$

$\Rightarrow F=S+24=17+24=41$

$\Rightarrow S=17;F=41$