SOLUTION: The sum of three consecutive odd integers is equal to 99.

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Question 147819: The sum of three consecutive odd integers is equal to 99.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=first number, so that means that the next number is x+2 and the next number is x+4


So "sum of three consecutive odd integers is equal to 99" translates to x%2Bx%2B2%2Bx%2B4=99


x%2Bx%2B2%2Bx%2B4=99 Start with the given equation.


3x%2B6=99 Combine like terms on the left side.


3x=99-6 Subtract 6 from both sides.


3x=93 Combine like terms on the right side.


x=%2893%29%2F%283%29 Divide both sides by 3 to isolate x.


x=31 Reduce.


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Answer:

So the answer is x=31

So the first number is 31, the second number is 33 and the third is 35