SOLUTION: A student opens his math book to two facing pages. The product of the page numbers is 1482. Find the page numbers.
What would I use to solve this, please?
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-> SOLUTION: A student opens his math book to two facing pages. The product of the page numbers is 1482. Find the page numbers.
What would I use to solve this, please?
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Question 201232: A student opens his math book to two facing pages. The product of the page numbers is 1482. Find the page numbers.
What would I use to solve this, please? Answer by solver91311(24713) (Show Source):
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If the pages are two facing pages, presuming that no one ripped a page out of the book, the numbers must be consecutive, that is to say the larger one is one larger than the smaller. So, let represent the left-hand page, then must be the right hand page.
Further, we are given that the product of the two page numbers is 1482, so:
Just solve the quadratic and exclude the negative root. Hint: It factors. Since the factors of 1482 must differ by only 1, I would start looking for factors in the neighborhood of the integer part of the square root of 1482.
