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) About Me  (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.

x%2B%28x%2B1%29%2B%28x%2B2%29%22%22%3C%22%2243
x%2Bx%2B1%2Bx%2B2%22%22%3C%22%2243
3x%2B3%22%22%3C%22%2243
3x%22%22%3C%22%2240

x%22%22%3C%22%2240%2F3

x%22%22%3C%22%2213%261%2F3

The largest integer less than 13%261%2F3 is 13.

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

Edwin


Answer by MathTherapy(10555) About Me  (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