Let Lyle's age be represented by \( x \). Since their ages are three consecutive even numbers, we can express the ages of Katrina and Mari as follows:
- Lyle's age: \( x \)
- Katrina's age: \( x + 2 \) (the next even number)
- Mari's age: \( x + 4 \) (the next even number after Katrina)
The combined age of Lyle, Katrina, and Mari is given as 66 years. Therefore, we can set up the equation:
\[ x + (x + 2) + (x + 4) = 66 \]
This equation can be simplified to:
\[ 3x + 6 = 66 \]
So, the equation that can be used to determine the age, \( x \), of Lyle is:
\[ 3x + 6 = 66 \]
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