SOLUTION: Use algebra to determine 3 consecutive integers that add up to the largest integer less than 43.

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Question 1087661: Use algebra to determine 3 consecutive integers that add
up to the largest integer less than 43.

Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Let x = the smallest of the three consecutive integers.
Then x+1 = the middle-sized of the three consecutive integers.
Then x+2 = the largest of the three consecutive integers.










The largest integer less than  is 13.

So the three consecutive integers are 13,14,and 15. They add to 42.

Edwin


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Use algebra to determine 3 consecutive integers that add
up to the largest integer less than 43.
Let smallest integer be S
Then others are: S + 1, and S + 2
The smallest INTEGER that's < 43 is 42
We then get: S + S + 1 + S + 2 = 42
3S + 3 = 42
3S = 39


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