Question

A father and his son are $50$ years and $20$ years old respectively$.$ Find the ratio of father's age to his son's age when the father was $35$ years old$.$

Answer 1

Step $1:$ To find the ratio of father's age to his son's age when father was $35$ years old.

Given present age of father $=50$ years

present age of son $=20$ years

Step $2:$ Find the age of father when son was $15$ years old

$15$ years ago father age was $=35$ years

$15$ years ago son age was $=5$ years

Step $3:$Now find the ratio of father's age to his son's age

Required Ratio $=35:5$

Step $4:$ Convert ratio into fraction and write its simplest form

$=\frac{35}{5}$

$=\frac{7}{1}$

Hence, the ratio of father's age to his son's age when son was $35$ years old is $7:1$