SOLUTION: the sum of three consecutive odd integers is negative thirty three

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Question 704019: the sum of three consecutive odd integers is negative thirty three




Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
ODD integers...
Using n as a whole number, variable, 2n would be even, so 2n+1 would be odd.

Let the consecutive odd numbers be 2n+1, 2n+3, 2n+5.

The description then means, 2n%2B1%2B2n%2B3%2B2n%2B5=33. Find n and compute each odd number.
Some algebra simplification toward the answer:
6n%2B9=33
2n%2B3=11, which is already one of the numbers without yet finding n. The other two numbers must be 9 and 13.