Question

A fathers age is three less than two times the sons age. The difference in their ages is 30 years. Find the fathers age

Answer 1

Father's age is 63 years

Explanation:

Let x years be the son's age.

A fathers age is three less than two times the sons age, then the father's age is

`2x-3` years.

The difference in their ages is 30 years, hence

`(2x-3)-x=30`

Solve this equation:

`2x-3-x=30\\ \\2x-x-3=30\\ \\x-3=30\\ \\x-3+3=30+3\\ \\x=33\\ \\2x-3=2\cdot 33-3=66-3=63`

Son's age is 33 years, father's age is 63 years