SOLUTION: What three consecutive integers have a sum of -186?

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Question 249756: What three consecutive integers have a sum of -186?
Found 2 solutions by Alan3354, College Student:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What three consecutive integers have a sum of -186?
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-186/3 = -62 which is the middle integer.
--> -63, -62, -61

Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
What three consecutive integers have a sum of -186?

Let x = integer
Let x+1 = consecutive integer
Let x+2 =the next consecutive integer
Their sum equals -186

x%2Bx%2B1%2Bx%2B2=-186
3x%2B3=-186
3x=-186-3
3x=-189
x=-189%2F3
x=-63 <--- here's the first integer

x%2B1=-63%2B1=-62 <--- the second integer
x%2B2=-63%2B2=-61 <--- the third integer

Let's check for accuracy:
x%2B%28x%2B1%29%2B%28x%2B2%29=-186
-63%2B%28-62%29%2B%28-61%29=-186
-63-62-61=-186
-186=-186 <--- the answers check!