Question

Multistep Equations Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Lyle, Katrina, and Mari have a combined age of 66 years. Their ages are three consecutive, even numbers. Let x represent the age of Lyle.

Write an equation that can be used to determine the age, x, of Lyle.

(1 point)
$$

Answer 1

Let's define the ages of Lyle, Katrina, and Mari in terms of \( x \):

- Lyle's age: \( x \)
- Katrina's age: \( x + 2 \) (the next even number)
- Mari's age: \( x + 4 \) (the next even number after Katrina)

According to the problem, their combined age is 66 years. Therefore, we can set up the following equation:

\[
x + (x + 2) + (x + 4) = 66
\]

This simplifies to:

\[
3x + 6 = 66
\]

So the equation you can use to determine the age \( x \) of Lyle is:

\[
3x + 6 = 66
\]