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29 Views· 10 September 2022

The Seemingly Impossible Missing Book Pages Puzzle (From India)

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julietafarnswo
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Thanks to Kshitij from India for sending me this problem! "A leaf is torn from a paperback novel. The sum of the numbers on the remaining pages is 15000. What are the page numbers on the torn leaf?" Notes: a leaf is a single sheet of paper, and the book is numbered starting on page 1 in the usual way. The problem comes from the 1994 Regional Mathematical Olympiad in India.

*Gary Einhorn pointed out a big mistake in my original video. Thanks to him and everyone else who helped me make this correct version:
https://www.youtube.com/watch?v=yiz4j-C5hw4&lc=UgzUf8VeZmCJWASansh4AaABAg

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