SOLUTION: 1)Mike said that when he opened his book the product of the two facing pages was 7007.Prove that this could not happen. 2)Place 10 stools along four walls of the room so that ea

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Question 345212: 1)Mike said that when he opened his book the product of the two facing pages was 7007.Prove that this could not happen.
2)Place 10 stools along four walls of the room so that each of the four walls has the same number of stools.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If you have two facing pages, one of the page numbers must be an even number. If you multiply an even number times any other number, the product will have a factor of 2 because one of the factors had a factor of 2. Therefore, the product of two page numbers from facing pages will always be even. 7007 is odd.

I didn't answer the other question because you didn't follow the instructions for posting on this site.

John

My calculator said it, I believe it, that settles it
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