Question

Mn=24. m+n = 11 find m? and n?

Answer 1

Since the commutative property applies to addition and multiplication, m and n could be swapped with each other.

You could test multiple numbers and see which answers match.

In this case, m and n could equal 8 or 3. Either way m=8 and n=3.

Answer 2

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