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6
2004 General, part 1 #6
2004 General, part 1 #6
Source:
March 8, 2024
number theory
Problem Statement
Find the ordered quadruple of digits
(
A
,
B
,
C
,
D
)
(A,B,C,D)
(
A
,
B
,
C
,
D
)
with
A
>
B
>
C
>
D
A > B > C > D
A
>
B
>
C
>
D
, such that \begin{tabular}{ccccc} & A & B & C & D \\ - & D & C & B & A \\ \hline = & B & D & A & C \\ \end{tabular}
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