If m is 8, then n is 3
If n is 8, then m is 3
We can set up a system of equations to find m and n:
mn = 24 —> m = 24/n
m + n = 11 —> m = 11 - n
24/n = 11 - n
24 = 11n - n^2
n^2 - 11n + 24 = 0
(n - 3)(n - 8) = 0
n is 8 or 3
Plug in both values of n into either equation to find m:
8m = 24; m = 3
3m = 24; m = 8