SOLUTION: Give eleven consecutive odd numbers whose sum is equal to 100

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Question 630216: Give eleven consecutive odd numbers whose sum is equal to 100
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe you made a mistake in transcribing the wording of the problem.
There is no solution to the problem as you posted it.
Eleven odd numbers (consecutive or not) will always add to an odd number, and 100 is even.
Eleven consecutive odd numbers will always add up to 11 times the middle one.
They would add to 99 for 1+3+5+7+9+11+13+15+17+19+21, where the middle number is 11. The sum could be 11%2A13=143, or 11%2A15=165, or any other larger odd multiple of 11.
Eleven consecutive even numbers will always add up to 11 times the middle one. The sum will be an even multiple of 11.
Eleven equally spaced numbers will always add up to 11 times the middle one. The sum will be a multiple of 11. For example,