Chapter 6.3, Problem 37E

To determine

To find : The value of $x$ .

Answer to Problem 37E

The value of $x$ is 22.

Explanation of Solution

Given information:

Consider the expression $\frac{36}{54}=\frac{18}{x+5}$ .

Calculation :

consider the expression, $\frac{36}{54}=\frac{18}{x+5}$ , where the value of $x$ is to be found.

Therefore,

  $\begin{array}{l}\frac{36}{54}=\frac{18}{x+5}\left[\text{use cross multiplication property}\right]\\ 36\left(x+5\right)=18\times 54\\ 36x+180=972\left[\text{move like terms on one side}\right]\\ 36x=972-180\\ 36x=792\\ x=\frac{792}{36}\left[\text{Divide}\right]\\ x=22\end{array}$

Therefore the value of $x$ is 22.