Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.5 Problem Solving - 2.5 Exercise Set - Page 122: 19

Answer

The two consecutive odd house numbers are $285$ and $287$.

Work Step by Step

$\bf{\text{l. Familiarize yourself with the problem.}}$ If one house number is the odd number $x$, the next odd number is $x+2$. We need the sum of $x$ and $(x+2)$ to be $572$. $\bf{\text{2. Translate to mathematical language. (This often means writing an equation.)}}$ $x+x+2=572$ $\bf{\text{3. Carry out some mathematical manipulation. (This often means solving an equation.)}}$ $ 2x+2=572\qquad$... subtract $2$ $ 2x=570\qquad$... divide with 2 $x=285$. Then, $x+2=287.$ The two consecutive odd numbers are $285$ and $287$. $\bf{\text{4. Check your possible answer in the original problem.}}$ Is $572$ the sum of $285$ and $287 $? Yes. $\bf{\text{5. State the answer clearly, using a complete sentence.}}$ The two consecutive odd house numbers are $285$ and $287$.
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