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, 2004

Number theory Difficulty 3.0 AMC 10/12 Find the answer Canada

Let $x$ be the three-digit number with digits $ABC$ and $y$ be the three-digit number with digits $CBA$ . The digits $A$ and $C$ are not $0$ . If $x - y = 495$ , how many possibilities are there for $x$ ?

(A) $50$ (B) $40$ (C) $24$ (D) $36$ (E) $32$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.