SOLUTION: can you help me solve this problem find three consecutive integers whose sum is 96

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Question 10759: can you help me solve this problem find three consecutive integers whose sum is
96

Answer by prince_abubu(198) About Me  (Show Source):
You can put this solution on YOUR website!
Let's see. 3 consecutive integers would be x, x + 1, and x + 2. If their total sum is 96, just add up all those integers:

+%28x%29+%2B+%28x%2B1%29+%2B+%28x%2B2%29+=+96+ <---- start here

+x+%2B+x+%2B+1+%2B+x+%2B+2+=+96+ <----- get rid of the parentheses

+3x+%2B+3+=+96+ <---- combine the like terms

+3x+=+93+ <----- subtract 3 from both sides

+x+=+31+ <------- One of those integers is 31. If one of the others is x + 1, then it would be 32. If the last one was x + 2, then it would be 33. So, the 3 consecutive integers that add up to 96 are 31, 32, and 33.