Answer:
[tex]-5\:\mathrm{and}\: 11[/tex]
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}x+y=6\\x-y=16\\\end{cases}[/tex]
Adding both equations together, we isolate [tex]x[/tex] and get:
[tex]2x=22,\: x=11[/tex]
Plugging [tex]x=11[/tex] in any of the equations, we can solve for [tex]y[/tex]:
[tex]11+y=6,\: y=-5[/tex]
Verify that the solution pair [tex](11, -5)[/tex] works [tex]\checkmark[/tex]
Therefore, the two numbers are [tex]\fbox{$-5\:\mathrm{and}\: 11$}[/tex].
