Question 928005
m+n=2 (equation 1)
mn+5=2 (equation 2)

Rearrange equation 1 to get:

m=2-n

Then substitute m=2-n into equation 2

n(2-n)+5=2
2n-n^2+5=2   (subtract by 2)
-n^2+2n+3=0 (multiply by -1)
n^2-2n-3=0
(n-3)(n+1)=0
Therefore n either = -1 OR 3

substitute n=-1 into equation 1 and you get m=3

Then substitute n=3 into equation 1 and get m=-1

THEREFORE, m=3 and n=-1 because m has to be the larger number and n is only the larger number when n=-1