SOLUTION: The sum of three consecutive numbers is 1965. What are the three numbers? I never know how to do the consecutive number problems. Need assistance. Thank you. :)

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Question 187332: The sum of three consecutive numbers is 1965. What are the three numbers?


I never know how to do the consecutive number problems. Need assistance. Thank you. :)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smallest number be n
The next larger number will be n+%2B+1
The next larger number will be n+%2B+2
given:
n+%2B+n+%2B+1+%2B+n+%2B+2+=+1965
3n+%2B+3+=+1965
3n+=+1962
n+=+654
n+%2B+1+=+655
n+%2B+2+=+656
The numbers are 654, 655, and 656
check:
3n+%2B+3+=+1965
3%2A654+%2B+3+=+1965
1962+%2B+3+=+1965
1965+=+1965
OK