Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.2 - An Introduction to Problem Solving - Exercise Set: 82

Answer

No such numbers exist.

Work Step by Step

Let $x$ and $x+2$ be the odd consecutive integers. Based on the conditions of the problem, then, \begin{array}{l}\require{cancel} 7x=5(x+2)+54 \\\\ 7x=5x+10+54 \\\\ 7x-5x=64 \\\\ 2x=64 \\\\ x=\dfrac{64}{2} \\\\ x=32 .\end{array} Since the solution gives an even number, then no such numbers exist that satisfy the conditions of the problem.
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