HMMT 2004 E6

Find the ordered quadruple of digits $(A, B, C, D)$ , with $A>B>C>D$ , such that

$\begin{aligned} & A B C D \\ - & D C B A \\ = & B D A C . \end{aligned}$

Dataset text NuminaMath olympiads. Quoted with source.

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(7,6,4,1)

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