SOLUTION: The sum of three consecutive odd integers is 201. Find the integers.

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Question 102800: The sum of three consecutive odd integers is 201. Find the integers.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Consecutive odd integers follow the form: 2x%2B1, 2x%2B3, 2x%2B5, ...., etc.

So the sum of sum of three consecutive odd integers is

%282x%2B1%29%2B%282x%2B3%29%2B%282x%2B5%29=201


6x%2B9=201 Combine like terms on the left side


6x=201-9Subtract 9 from both sides


6x=192 Combine like terms on the right side


x=%28192%29%2F%286%29 Divide both sides by 6 to isolate x



x=32 Divide

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Answer:
So our answer is x=32


So that means our first number is
2%2832%29%2B1=65

Our second number is
2%2832%29%2B3=67

And our third number is
2%2832%29%2B5=69


So our three numbers are: 65,67, and 69