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Word Problem : Application of Sums of Odd and Even Numbers

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As Jack finished a section of the novel he was reading, his wife posed a curious question: "Dear, suppose you took the page numbers of the section you just read and added them together. What would you get?
Jack summed them rather hastily and said, "Well, I may have to double-check my arithmetic. It's either 412 or 512, I'm not sure.

Which is it and why?

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Solution Summary

A word problem is solved by appying sums of odd and even numbers.

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The answer is 412.

The logic is that the totals of the first and last pages must be an odd figure, ...

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