Question

A father's age is four times that of his son. In five years, the father will be three times as old as his son. What are their ages?

Answer 1

Step-by-step explanation:

Let the son's age = x

father's age = 4x

In 5 years,

Son's age = x + 5

father's age = 4x + 5

According to the question :

$\implies$ $4x+5\:=\:3(x+5)$

$\implies$ $4x+5\:=\:3x+15$

$\implies$ $4x-3x\:=\:15-5$

$\implies$ $\boxed{x=10}$

$Son's\:age=x=\boxed{10\:years}\\Father's\: age=4x=4(10)=\boxed{40\:years}$

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