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 Lyle's age be represented by \( x \). Since their ages are three consecutive even numbers, we can express the ages of Katrina and Mari in terms of \( x \):

• Lyle's age: \( x \)
• Katrina's age: \( x + 2 \)
• Mari's age: \( x + 4 \)

According to the problem, the combined age of Lyle, Katrina, and Mari is 66. Therefore, we can write the equation:

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

Now, you can simplify and solve this equation to find Lyle's age \( x \).