Harvey is 3 times as old as Jane. The sum of their ages is 48 years. What is the age of each?

Solution:

Given: Two mathematical statements

Let us convert them into linear equations.

Let ‘x’ be the age of Jane.

Then, the age of Harvey will be 3x.

Given that, the sum of their ages = 48

x + 3x = 48

4x = 48

x = 12

Therefore, Jane’s age = x = 12 years

Harvey’s age = 3x = 3 × 12 = 36 years

Harvey is 3 times as old as Jane. The sum of their ages is 48 years. What is the age of each?

Summary:

The ages of Harvey who is 3 times as old as Jane and the sum of their ages being 48 years are 36 and 12 years respectively.