This is a 3 part question. Be sure to answer all of the questions. Olivia is x years old. Peyton is 6 years older than Olivia. Three times Peyton's age is equal to 24. 1) Write an equation that could be used to solve for Olivia's age. 2) Show your work to determine how old Olivia is using your equation. 3) Show your work to determine how old Peyton is using the information in the question.

Step-by-step explanation:

1) Olivia is x years old. Peyton is 6 years older than Olivia. This means that Peyton's age is (x + 6) years Three times Peyton's age is equal to 24. The equation that could be used to solve for Olivia's age is

3 (x + 6) = 24

2) 3x + 18 = 24

Subtracting 18 from the left hand side and the right hand side of the equation, it becomes

3x + 18 - 18 = 24 - 18

3x = 6

Dividing the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = 6/3

x = 2

3) Peyton's age = x + 6 = 2 + 8

= 8 years