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MathNet 2015-part-01 — 191 problems (EN–VI) Question 94

Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)

Question 94

Find all positive integers $n$ ($n \lt 24$) such that the set $M = \{n, n + 1, \dots, 24\}$ can be partitioned into some disjoint subsets so that in each subset one of the numbers is equal to the sum of all other numbers of this subset.
(V. Kaskevich)