Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 114: 35

The numbers are 36, 38, and 40.

Let n represent the first number; then, n + 2 represents the next even number, and n + 4 the next even number. Because their sum is 114, we can set up and solve the following equation: n + n + 2 + n + 4 = 114 3n + 6 = 114 Subtract 6 from both sides 3n = 108 Divide both sides by 3 n = 36 If n = 36, then n + 2 = 38, and n + 4 = 40 So, the numbers are 36, 38 and 40.