Track / Stage 3 / 33 of 260 #673 of 2604

Let $N$ be the smallest positive integer such that the sum of its digits is 2021. What is the sum of the digits of $N + 2021$?

(A) $10$ (B) $12$ (C) $19$ (D) $28$ (E) $2021$

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

I solved it I didn't Skip

Next problem →

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

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