### Home > CAAC > Chapter 8 > Lesson 8.1.4 > Problem 8-41

8-41.

Find three consecutive numbers whose sum is 138 by writing and solving an equation. Homework Help ✎

Write an equation to solve the problem.

first number = *x*

second number = *x* + 1

third number = *x* + 2*x* + (*x* + 1) + (*x* + 2) = 138

Add like terms.

3*x* + 3 = 138

Solve for *x*.

3*x* = 135*x* = 45