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)

1 answer

Let Lyle's age be represented by \( x \). Since their ages are three consecutive even numbers, Katrina's age would be \( x + 2 \) and Mari's age would be \( x + 4 \).

The equation representing their combined ages would be:

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

Simplifying this equation:

\[ x + x + 2 + x + 4 = 66 \] \[ 3x + 6 = 66 \]

This equation can be used to determine the age, \( x \), of Lyle.