## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set: 9

#### Answer

The number is $26$.

#### Work Step by Step

Let $x$ = the unknown number Then "twice a number" means $2x$ "sum of four and twice a number" means $4+2x$ Thus, the equation that represents the situation is: $4+2x=56$ Subtract $4$ on both sides of the equation to obtain: $2x=52$ Divide $2$ on both sides of the equation to obtain: $x=\dfrac{52}{2} \\x=26$

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