Question

Age of father is three times the age of son. After $5$ years father's age will be two and half times the age of son. Find the ages of father and the son at present.

Answer 1

Let age of son be $x$ years

Age of father is $3x$ years

After 5 years

Age of son be $x+5$ years

Age of father is $3x+5$ years

According to question

$3x+5=2.5(x+5)$

$0.5x=2.5$

$x=5$

Age of son be $5$ years

Age of father is $15$ years