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

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) (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

The Out Campaign: Scarlet Letter of Atheism

RELATED QUESTIONS
Mike said that when he opened his book, the product of the page numbers of the two facing (answered by funmath)

Mike said that when he opened his book, the product of the page numbers of the two facing (answered by monikakumar)

sara opened her book and found that the product of the page numbers for two facing pages... (answered by Alan3354)

A book opened to two pages with a product of 7140 what are the facing... (answered by josmiceli,MathTherapy,greenestamps,richwmiller)

To what pages must Narding open his book so that the product of the book's two facing... (answered by tommyt3rd)

A maths text book is opened and the product of the facing pages is 1056 what is the two... (answered by greenestamps)

Nicole opened her math book and multiplied the two page numbers that were facing her.... (answered by rfer)

what is the answer to this following question: a student is to read two pages in a text... (answered by checkley77)

A text book is opened at random . what are the page numbers if the product of the two... (answered by Fombitz)