Problema Solution

The product of the page numbers on two facing pages of a book is 182. Find the page numbers.

Answer provided by our tutors

Let X be one page number so that second page is (x+1).

x*(x+1)=182.

x^2+x-182 =0.

 By factorisation

x^2+14x-13x-182=0.

x(x+14)-13(x+14)+0.

x=13,-14. as page number can not be negative

one page number x=13.

second page number =14.