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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

How many three-digit numbers are increased by 99 when their digits are reversed?

(A) $4$ (B) $8$ (C) $10$ (D) $80$ (E) $90$

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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.