SOLUTION: find two consecutive page numbers in a book such that the sum of the page numbers is 11 less than their product. How might we go about setting this problem up initially?

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Question 726461: find two consecutive page numbers in a book such that the sum of the page numbers is 11 less than their product. How might we go about setting this problem up initially?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The two consecutive pages be x & x+1
product x(x+1)
sum = x+x+1= 2x+1

2x+1 = x(x+1)-11
2x+1=x^2+x-11
x^2-x-12=0
x^2-4x+3x-12=0
x(x-4)+3(x-4)=0
(x-3)(x-4)=0
x=3 OR 4
4*5 = 20
4+5=9