AT-OEMO-BEG 2021 Problem 1
The pages of a notebook are numbered consecutively so that the numbers and are on the second sheet, numbers and , and so on. A sheet is torn out of this notebook. All of the remaining page numbers are addedand have sum . (a) How many pages could the notebook originally have been? (b) What page numbers can be on the torn sheet?
(Walther Janous)
Dataset text AI-MO AoPS. Quoted with source.
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