Find the page numbers.

Question

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

Answer 1

x = first page then the next page is x + 1

 

x(x + 1) = 182

x² + x - 182 = 0

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

 

So, x = 13  and x + 1 = 13 + 1 = 14

 

The page numbers are 13 and 14.