|m-3|+|m-n|=1
case 1: |m-3|=0 => m=3
|m-3|+|m-n|=1
0+|3-n|=1
|3-n|=1
3-n = 1 or -1
n=4 or 2
m+n= 7 or 5
case 2: |m-3|=1 =>m=4 or 2
m=4
|m-3|+|m-n|=1
|4-3|+|4-n| =1
|4-n| =0
n=4
m+n =4+4=8
m=2
|m-3|+|m-n|=1
|2-3|+|2-n|=1
|2-n|=0
n=2
m+n= 2+2=4
ie
m+n=7 or 5 or 8 or 4