let us take the smallest integer as x
the second smallest as x+1
and the largest as x+2
since the sum is -204 we should add all of it to get the answer
therefore x+x+1+x+2=-204
3x+3=-204
3x=-204-3
3x=-207
x=-207/3
x=-69
the largest number is x+2
therefore the largest number is -67
to check whether it is right just add them and check whether we get - 204
therefore -69+-68+-67=
-204
therefore the answer is -67
