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2024 SSMO Speed Round Problems/Problem 9

Revision as of 15:41, 2 May 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>a, b, c,</math> and <math>d</math> be positive integers such that <math>abcd = a+b+c+d</math>. Find the maximum possible value of <math>a</math>. ==Sol...")
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Problem

Let $a, b, c,$ and $d$ be positive integers such that $abcd = a+b+c+d$. Find the maximum possible value of $a$.

Solution

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