SOLUTION: the sum of three consecutive integers is 66. Find the three integers?

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Question 258125: the sum of three consecutive integers is 66. Find the three integers?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, x+1, and x+2 be the three consecutive integers. WE have
(i) x+%2B+x+%2B+1+%2B++x+%2B+2+=+66
combining like terms we get
(ii) 3x%2B3+=+66%7D%7D%0D%0Asubtracting+3+we+get%0D%0A%28iii%29+%7B%7B%7B3x+=+63
dividing by 3 we get
(iv) x+=+21
S our three numbers are:
21, 22, 23