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Problem 2
n+s(n)=2004, sum of digits=s(n) (2001 Moldova MO Grade 7 P2)
n+s(n)=2004, sum of digits=s(n) (2001 Moldova MO Grade 7 P2)
Source:
April 12, 2021
number theory
Problem Statement
Let
S
(
n
)
S(n)
S
(
n
)
denote the sum of digits of a natural number
n
n
n
. Find all
n
n
n
for which
n
+
S
(
n
)
=
2004
n+S(n)=2004
n
+
S
(
n
)
=
2004
.
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