SOLUTION: The sum of three consecutive integers is -204

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Question 868655: The sum of three consecutive integers is -204
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call those 3 integers n-1 , n and n%2B1 .
If their sum is 204
%28n-1%29%2Bn%2B%28n%2B1%29=204
n-1%2Bn%2Bn%2B1=204
n%2Bn%2Bn=204
3n=204
n=204%2F3
highlight%28n=68%29
So the three consecutive integers are
n-1=68-1=highlight%2867%29 ,
n=highlight%2868%29 , and
n%2B1=68%2B1=highlight%2869%29

If their sum is -204
%28n-1%29%2Bn%2B%28n%2B1%29=-204
n-1%2Bn%2Bn%2B1=-204
n%2Bn%2Bn=-204
3n=-204
n=-204%2F3
highlight%28n=-68%29
and the three consecutive integers are
n-1=-68-1=highlight%28-69%29 ,
n=highlight%28-68%29 , and
n%2B1=-68%2B1=highlight%28-67%29