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, 2020

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The years $2020$ and $1717$ both consist of a repeated two-digit number. How many years after $2020$ will it be until the next year which has this property?

(A) $20$ (B) $101$ (C) $120$ (D) $121$ (E) $202$

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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.