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if you were able to get m and not n, then you didn't understand this question, which only looks abstruse but indeed is the 1st grade exercise.
All you need is to follow the rule of addition in this table, i.e. only the table titles should be added, like x+4=1 and find x, which is x=1-4=-3. Next example, x+e=7 and e=7-x (we know x already), e=7-(-3)=10. Next, x+f=2 and so on ...
We need m and n values. n=y+e, we know e but don't know y, so we need to find y. y+4=-5 and y=-9. Hence n=y+e=-9+10=1.
Find m, z+4=m. Find z to find m, z+e=10, z+10=10, z=0. Again start looking for m, z+4=m and 0+4=m, m=4.
n=1 and m=4, n+m=5.
OK?
