Multistep Equations Practice

Question

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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)
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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:

\[ 3x + 6 = 66 \]