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, 2017

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Four different positive integers are to be chosen so that they have a mean of $2017$ . What is the smallest possible range of the chosen integers?

(A) $2$ (B) $3$ (C) $4$ (D) $5$ (E) $6$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.