MathDB
2014 Guts #24: Mean of Elements in Subset is an Integer

Source:

April 21, 2014

Problem Statement

Let A={a1,a2,…,a7}A=\{a_1,a_2,\ldots,a_7\} be a set of distinct positive integers such that the mean of the elements of any nonempty subset of AA is an integer. Find the smallest possible value of the sum of the elements in AA.
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