SOLUTION: Find 5 consecutive odd integers with sum of70

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Question 1157232: Find 5 consecutive odd integers with sum of70
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
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Find 5 consecutive odd integers with sum of 70.
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There are NO such 5 consecutive odd integers.


The sum of a series of odd number of terms that are odd numbers is ODD number.


70 is NOT odd number.


Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


In addition to the response from tutor @ikleyn, note that if the sum of 5 consecutive odd integers were 70 the middle one would be 70/5 = 14.

But 14 is not odd; so the problem has no solution.