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?

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) (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
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