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Q: What two consecutive odd numbers hve a sum of 68?

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The sum of two odd numbers is even and the sum of an even number and an odd number is odd.So the sum of three consecutive odd numbers is odd but 270 is even.Ergo there are no three consecutive odd numbers that sum to 270.Three consecutive numbers that sum to 270 are 89, 90, 91.Three consecutive even numbers that sum to 270 are 88, 90, 92.

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The sum of the first 250 consecutive odd numbers is 250 squared or 62,500.

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