Question

# Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

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Solution

## Let the age of Aman’s son be $x$ years. Let the age of Aman will be $3x$ years.According to the given details, the equation becomes$5\left(x–10\right)=3x–10\phantom{\rule{0ex}{0ex}}⇒5x–50=3x–10\phantom{\rule{0ex}{0ex}}⇒5x–3x=-10+50\phantom{\rule{0ex}{0ex}}⇒2x=40\phantom{\rule{0ex}{0ex}}⇒x=20$Therefore, Aman’s son age $=x=20$ yearsand, Aman's age $=3x=3×20=60$ yearsHence, the present age of Aman is $\mathbf{60}$ years and present age of Aman's son is $\mathbf{20}$ years.

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