Chapter 4.5, Problem 30PPS

To determine

To solve:the given equation and to find the number of pages b in the first book.

Answer to Problem 30PPS

The number of pages b in the first book is 206

Explanation of Solution

Given:

Total number of pages =524

Second book is 112 pages longer than first book

  $b+b+112=524$

Calculation:

To solve equation $b+b+112=524$ to find the number of pages b in the first book

Consider $b+b+112=524$

  $2b+112=524$

Add $-112$ on both sides of equation

  $\begin{array}{l}2b+112-112=524-112\\ 2b=412\end{array}$

Divide both sides of equation with 2

  $\begin{array}{l}b=\frac{412}{2}\\ b=206\end{array}$

Thus, the number of pages b in the first book is 206

Conclusion:

Thus, the number of pages b in the first book is 206