Chapter 15.1, Problem 3PSA

To determine

To Justify: The relation of variable with another.

Answer to Problem 3PSA

  $x\text{ exceeds }z\text{ by}8$

Explanation of Solution

Given:

  $\begin{array}{l}x\text{ exceeds }y\text{ by }5\\ y\text{exceeds }z\text{ by }3\end{array}$

Formula Used:

  $a\left(c+d\right)=ac+ad$

Calculation:

  $\begin{array}{l}x\text{ exceeds }y\text{ by }5\\ y\text{exceeds }z\text{ by }3\\ \text{⇒}x=y+5\&y=z+3\\ \text{⇒}x=\left(z+3\right)+5\\ \text{⇒}x=z+3+5\\ \text{⇒}x=z+8\end{array}$

Conclusion:

Thus, $x\text{ exceeds }z\text{ by}8$ .