SOLUTION: The sum of three consecutive odd integers is -345. Find the three integers.

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Question 1013392: The sum of three consecutive odd integers is -345. Find the three integers.
Found 2 solutions by josgarithmetic, macston:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
This might work: n%2B%28n%2B2%29%2B%28n%2B4%29=-345, but if it does not work, then be sure you make expressions for CONSECUTIVE ODD integers, like 2n%2B1%2B%282n%2B3%29%2B%282n%2B5%29=-345, and solve this one.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
S=smallest integer; M=middle integer=S+2; L=largest integer=S+4
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S+M+L=-345
S+(S+2)+(S+4)=-345
3S+6=-345
3S=-351
S=-117
M=S+2=-117+2=-115
L=S+4=-117+4=-113
ANSWER: The three numbers are -117, -115, and -113.
.
CHECK:
S+M+L=-345
(-117)+(-115)+(-113)=-345
-345=-345