Let \( x \) represent Lyle's age. Since Lyle, Katrina, and Mari have ages that are three consecutive even numbers, we can express their ages as follows:
- Lyle's age: \( x \)
- Katrina's age: \( x + 2 \) (the next consecutive even number)
- Mari's age: \( x + 4 \) (the next consecutive even number after Katrina)
The combined age of Lyle, Katrina, and Mari is given as 66 years. We can set up the following equation to represent this situation:
\[ x + (x + 2) + (x + 4) = 66 \]
Now we can simplify this equation:
\[ x + x + 2 + x + 4 = 66 \]
Combining like terms gives us:
\[ 3x + 6 = 66 \]
This equation can be used to determine Lyle's age \( x \).
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