SOLUTION: The product of the page numbers on two facing pages of a book is 272. Find the page numbers.

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Question 616628: The product of the page numbers on two facing pages of a book is 272. Find the page numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi, 

The product of the page numbers on two facing pages of a book is 272

Let n and (n+1) represent the page numbers

 n(n+1) = 272

 n^2 + n - 272 = 0

(n+17)(n-16) = 0

       n = 16     (throwing out the negative solution for n)

Page numbers are 16 and 17

CHECKING our Answer***

 16· 17 = 272