Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

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

Answer

The numbers are 36, 38, and 40.

Work Step by Step

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.