SOLUTION: The sum of two consecutive odd integers is 137. Find the integers.

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Question 638986: The sum of two consecutive odd integers is 137. Find the integers.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Not possible.
Adding two odd integers (consecutive or not), you will always get an even number, and 137 is not even.

If the sum of two consecutive integers (obviously one of them odd and the other one even) were 137, then we could solve the problem.
We can call two consecutive integers x and x%2B1
Their sum is x%2B%28x%2B1%29=%28x%2Bx%29%2B1=2x%2B1
If that sum is 137, then
2x%2B1=137 --> 2x%2B1-1=137-1 --> 2x=136 --> 2x%2F2=136%2F2 --> highlight%28x=68%29