The product of the page numbers on two facing pages of a book is 306. Find the page numbers.
The page numbers are___
The pages are page 17 and 18.
17*18=306
Let one page be n, then
n+1 is the 2nd page, but we have:
n(n+1)=306
n^2 + n=306, or
n^2 +n -306=0, factoring gives,
(n-17) (n+18) = 0
n=17 or n=-18 we discard the negative solution, and we have:
n=17 and 17+1=18, because
17 X18=306.
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