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2003 Greece Junior Math Olympiad
2
Combinatorics
Combinatorics
Source: Archimedes Junior 2003
March 17, 2020
combinatorics
Problem Statement
Find all four-digit natural numbers
x
y
z
w
‾
\overline{xyzw}
x
yz
w
with the property that their sum plus the sum of their digits equals
2003
2003
2003
.
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