Given:
2 numbers whose sum is 23 and the difference is 11
Let the numbers are (x) and (y)
so, we have the following equations:
[tex]\begin{gathered} x+y=23 \\ x-y=11 \end{gathered}[/tex]Solve the equations to find (x) and(y)
Add the equations will cancel the value of (y) then solve for x
[tex]\begin{gathered} 2x=34 \\ x=\frac{34}{2}=17 \end{gathered}[/tex]From the first equation: y = 23 - x
substitute with x to find y
[tex]y=23-17=6[/tex]So, the answer will be the numbers are 6, 17
