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The sum of page numbers on the facing pages of a book is 81. What are the page numbers on the left and what is the page numbers on the right?

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1 Answer

The page numbers on facing pages of a book will always be consecutive.  Therefore, let the left-hand page be denoted by x.  Then the right-hand page would be x+1.
 
x+(x+1) = 81
2x + 1 = 81
2x = 80
x = 40.
 
So, the left-hand page has number 40, and the right-hand page has number 41.