Question

Raul is 5 years older than twice Carlos' age. The sum of their ages is 101. How old is Carlos?

Answer 1

32 years old

Explanation:

Let's create an algebraic equation for this problem.

We'll use the variable c for Carlos' age.

c = Carlos' age
`color(red)(2c) + color(blue)(5)` = Raul's age (Raul is `color(blue)(5)` years older than `color(red)(2)` times Carlos' age)

Together, their ages equal 101.

`c + 2c + 5 = 101`
`3c + 5 = 101`
`3c = 96`
`c = 32`

Carlos is 32 years old.