Question

Josh is 6 years older than 5 times Kim's age. The sum of their ages is less than 54.

What is the oldest Kim could be? Show all your work.
I

Answer 1

Kim could be 8 at maximum.

Answer 2

8

Explanation:

Josh is 6 years older than 5 times Kim's age. The sum of their ages is less than 54. What is the oldest Kim could be?

J + k < 54 when J = 5k + 6 so:

5k + 6 + k < 54

6k + 6 < 54

subtract 6 from both sides:

6k + 6 - 6 < 54 - 6

6k < 48

divide both sides by 6:

6k/6 < 48/6

k < 8