olymmath

JBMO-SL 2016 N5

  • Answer

Determine all four-digit numbers abcd‾\overline{a b c d} such that

(a+b)(a+c)(a+d)(b+c)(b+d)(c+d)=abcd‾(a+b)(a+c)(a+d)(b+c)(b+d)(c+d)=\overline{a b c d}

Dataset text NuminaMath olympiads. Quoted with source.

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2016

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