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: 20

Answer

The two consecutive even house numbers are $396$ and $398$.

Work Step by Step

$\bf{\text{l. Familiarize yourself with the problem.}}$ If one house number is the even number $x$, the next even number is $x+2$. We need the sum of $x$ and $(x+2)$ to be $794$. $\bf{\text{2. Translate to mathematical language. (This often means writing an equation.)}}$ $x+x+2=794$ $\bf{\text{3. Carry out some mathematical manipulation. (This often means solving an equation.)}}$ $ 2x+2=794\qquad$... subtract $2$ $ 2x=792\qquad$... divide with 2 $x=396$. Then, $x+2=398.$ The two consecutive numbers are $396$ and $398$. $\bf{\text{4. Check your possible answer in the original problem.}}$ Is $794$ the sum of $396$ and $398 $? Yes. $\bf{\text{5. State the answer clearly, using a complete sentence.}}$ The two consecutive even house numbers are $396$ and $398$.
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.