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 Category: Math Submitted By: doubleugh Fun: (2.16) Difficulty: (1.06)

If you opened up a book to two pages, would the sum be even or odd? If you multiplied them would it be even or odd? If you opened a book to two different pages, would the answers stay the same to the two questions above?

### Answer:

The sum would be ODD.
The product would be EVEN.
The answer WOULD stay the same if you opened to two different pages.

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Comments on this teaser

 Posted by SSVillalobos 03/05/08 Yay! First comment! Interesting quiz. Posted by lessthanjake789 03/05/08 obviously if you open to a pair of pages, you are correct - sum is odd, product is even. But what if I choose page 11 and page 15. Sum = 26, Product = 165. Wouldn't that mean it depends? Or did I miss something? Posted by kwelchans 03/05/08 I think the assumption is that it means 2 adjacent pages. Posted by doubleugh 03/05/08 Yes. It's like a real book. Use adjacent pages. Posted by stil 03/31/08 Why is the sum never 15? Have you ever tried to hide cash between pages 7 and 8 of a book? Posted by mathemagician 04/08/08 Prove: The sum of any odd number and any even number is odd. Proof: Let 2n+1 represent the odd number and 2m the even number, where m and n are positive integers. Thus, 2m + (2n+1) = (2m+2n)+1 = 2(m+n) +1 , which is odd. Prove: The product of any even number and any odd number is even. Proof: Let 2m represent the even number and 2n+1 be the odd number, where m and n are positive integers. Then the product 2m(2n+1) = 2(2mn + m), which is even. Posted by javaguru 01/10/09 I thought opening to two different pages meant to take the sum and product of the four pages. In this case the product is stop even but now so is the sum. Poorly worded. :x Posted by WolfMoon 01/31/10 it was a bit easy, but fun :)

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