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: 36

Answer

The numbers are 51, 53 and 55.

Work Step by Step

Let n represent the first number; then, n + 2 represents the next odd number, and n + 4 the next odd number. Because their sum is 159, we can set up and solve the following equation: n + n + 2 + n + 4 = 159 3n + 6 = 159 Subtract 6 from both sides 3n = 153 Divide both sides by 3 n = 51 If n = 51, then n + 2 = 53, and n + 4 = 55 So, the numbers are 51, 53 and 55.
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