Charlene is 8 years older than Aaron. The sum of their ages is 44. What are their ages?

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the statement:

Charlene is 8 years older than Aaron

The sum of their ages is 44.

Determine their ages.

Solution:

Let x represent Aaron's age

x + 8 represent Charlene's age

Equate the representation in one single solution.

x + x + 8 = 44

transpose 8 on the other side of the equation, note that when transposing a number, the sign changes.

2x = 44-8

2x = 36

Divide both sides by 2, in order to get the value of x.

x = 18

Aaron's age = 18

Charlene's age = 18 + 8

Charlene's age = 26

Final answer:

Aaron's age = 18

Charlene's age = 26