Question

When I open my mathematics book, there are two pages that face me and the product of the two page numbers is 1806. What are the two page numbers?

page 1: ?
page 2: ?

Answer 1

Answer:

Page 1: 42 ; Page 2: 43

Step-by-step explanation:

Page numbers for two consecutive pages are consecutive too, that is if page#1 has a number say 'm', the next page, that is page#2, would have the number 'm+1'.

m*(m+1) = 1806

m² + m - 1806 = 0

m² + 43m - 42m - 1806 = 0

m*(m + 43) - 42*(m + 43) = 0

(m + 43)*(m - 42) = 0

This equation renders us with two values of m, namely -43 and +42, and since page numbers cannot be negative for the world, the answer must be +42.

Thus, Page#1 = 42 and Page#2 = 43+1 = 43