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

The page number are____.

 Nov 10, 2015
 #1
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The two pages are: 16 X 17=272

 Nov 10, 2015
 #2
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You can solve this using an equation.

Two pages in a book are consecutive integers, call the small page number n.

Then the next page number is n + 1.

(n)(n + 1)  =  272

n2 + n  =  272

n2 + n - 272  =  0

(n + 17)(n - 16)  =  0

So:  n = -17  or  n = 16.  Toss out the negative answer.

So,  n = 16  and  n + 1 = 17.

 Nov 11, 2015

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