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, 2014

Number theory Difficulty 2.0 Junior Prove it United Kingdom

Find all positive integers $a$ and $b$ for which $a^2 - b^2 = 18$ .

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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.