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All four digits of $2$ two-digit numbers are different. What is the smallest possible sum of the two numbers?

(A) $30$ (B) $33$ (C) $37$ (D) $40$ (E) $42$

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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, ordering) added by this project. Solutions are the publisher's, linked not copied.