Lyle, Katrina, and Mari have a combined age of 66. Their ages are three consecutive even numbers. Let x represent the age of Lyle.

Question

Write an equation that can be used to determine the age, x, of Lyle
__ __+__=__

Answer 1

Let the ages of Lyle, Katrina, and Mari be represented as follows:

• Lyle's age: \( x \) (the first even number)
• Katrina's age: \( x + 2 \) (the second consecutive even number)
• Mari's age: \( x + 4 \) (the third consecutive even number)

We know that their combined age is 66. Therefore, we can write the following equation:

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

This simplifies to:

\[ 3x + 6 = 66 \]

To fill in your requested format of "__ __ + __ = __", we can represent it like this:

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

So the final answer is:

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