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: 21

Answer

The three pages are numbered $32,33,34.$

Work Step by Step

$\bf{\text{l. Familiarize yourself with the problem.}}$ If the first page number is $x$, then the next two are $x+1$ and $x+2$. We need the sum of $x,\ x+1$, and $x+2$ to be 99. $\bf{\text{2. Translate to mathematical language. (This often means writing an equation.)}}$ $x+x+1+x+2=99$ $\bf{\text{3. Carry out some mathematical manipulation. (This often means solving an equation.)}}$ $3x+3=99$ $3x=96$ $x=32$, The next two are 33 and 34. The three pages are numbered $32,33,34.$ $\bf{\text{4. Check your possible answer in the original problem.}}$ Is $32+33+34=99$? Yes. $\bf{\text{5. State the answer clearly, using a complete sentence.}}$ The three pages are numbered $32,33,34.$
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