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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The sum of 10 distinct positive integers is $100$ . What is the largest possible value of any of the 10 integers?

(A) $55$ (B) $56$ (C) $60$ (D) $65$ (E) $91$

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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.