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Omni-MATH / Let A={a₁,a₂,…,a₇} be a set of distinct positive integers such that the mean of the elements of any nonempty subset of A is an integer. Find the smallest possible value of the sum …

Problem

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problem

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.
Plain-text mathematical notation (without MathML)
Let A={a₁,a₂,…,a₇} be a set of distinct positive integers such that the mean of the elements of any nonempty subset of A is an integer. Find the smallest possible value of the sum of the elements in A.
Original LaTeX notation
Let $A=\{a_{1}, a_{2}, \ldots, a_{7}\}$ be a set of distinct positive integers such that the mean of the elements of any nonempty subset of $A$ is an integer. Find the smallest possible value of the sum of the elements in $A$.

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Source and history

task_id
5c00cf37-c38e-5a35-b35f-8459d76569c7
task_key
test--5c00cf37-c38e-5a35-b35f-8459d76569c7
task_revision_id
1
config / split
/ test

Official source

initial import