Chapter 9.5, Problem 1P

To determine

To find: The value of $x$ and $y$ .

Answer to Problem 1P

The value of $x$ and $y$ is $\left(9,16\right)$ .

Explanation of Solution

Given information:

The given sum of two numbers is $25$ and difference is $7$ .

Calculation:

Calculate the value of $x$ and $y$ ,

The smaller number be $=x$

The larger number b $=y$

Sum of the numbers is $25$ .

  $y+x=25$ … (1)

Difference of the number is $7$ .

  $y-x=7$ … (2)

Add the both equations,

  $\begin{array}{c}y+x=25\\ y-x=7\\ 2y=32\\ y=16\end{array}$

Substitute the value of $y$ in equation- $\left(1\right)$

  $\begin{array}{c}y+x=25\\ 16+x=25\\ x=9\end{array}$

Therefore, the value of $x$ and $y$ is $\left(9,16\right)$ .