the sum of the page numbers on the facing pages of a book is 81. what are the page numbers

Let's assume that the page numbers on the facing pages of the book are consecutive integers.

Let's say the page number on the left page is x. Therefore, the page number on the right page would be x+1.

According to the problem, the sum of the page numbers is 81, so we can write it as:

x + x+1 = 81

Simplifying the equation, we get:

2x + 1 = 81

Subtracting 1 from both sides, we get:

2x = 80

Dividing both sides by 2, we get:

x = 40

Therefore, the page numbers are 40 and 41.