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, 2021

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The positive integer $N$ is the smallest one whose digits add to 41. What is the sum of the digits of $N+2021$ ?

(A) $10$ (B) $12$ (C) $16$ (D) $2021$ (E) $4042$

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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.