Question

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.
Question 7 options:

Answer 1

Olivia's age equation: X = Y - 6 and age is 2 years.

Peyton's age equation: 3Y = 24 and age is 8 years.

Explanation:

Step 1:

Let us assume that Olivia's age be X years and Peyton's age be Y years.

From the give statements we can get that

Y = X+6

3Y = 24

which means Peyton is 8 years old.

Step 2:

X = Y-6

= 8-6

= 2

and Olivia is 2 years old.