SOLUTION: The product of the page numbers on two facing pages of a book is 240. Find the page numbers.

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Question 321327: The product of the page numbers on two facing pages of a book is 240. Find the page numbers.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the page number on the left side be x
then page number on the right side will be x+1
The product = 240
x(x+1)=240
x^2+x=240
x^2+x-240=0
x^2+16x-15x-240=0
x(x+16)-15(x+16)=0
(x+16)(x-15)=0
x= -16 OR 15
Ignore the negative value.
So the page numbers are 15 and 16