SOLUTION: the total of the three consecutive numbers is 170. What are the numbers?

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Question 690934: the total of the three consecutive numbers is 170. What are the numbers?
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the numbers are n, (n+1) and (n+2) where n is an integer
Then, +%28n%29+%2B+%28n%2B1%29+%2B+%28n%2B2%29+=+170+, therefore
+3n+%2B+3+=+170+
+3n+=+167+
so it is not possible as n an integer
You can also see this by considering the sequences:
55, 56, 57 whose sum is 168
56, 57, 58 whose sum is 171
so there are no three consecutive numbers with sum 170.