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Cono Sur Olympiad 2011, Problem 4
Cono Sur Olympiad 2011, Problem 4
Source:
August 23, 2014
algebra proposed
algebra
Problem Statement
A number
a
b
c
d
‾
\overline{abcd}
ab
c
d
is called balanced if
a
+
b
=
c
+
d
a+b=c+d
a
+
b
=
c
+
d
. Find all balanced numbers with 4 digits that are the sum of two palindrome numbers.
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