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Lusophon Mathematical Olympiad
2023 Lusophon Mathematical Olympiad
4
4
Part of
2023 Lusophon Mathematical Olympiad
Problems
(1)
Determine lusophone numbers
Source: Lusophon Mathematical Olympiad 2023 Problem 4
5/27/2023
A positive integer with 3 digits
A
B
C
‾
\overline{ABC}
A
BC
is
L
u
s
o
p
h
o
n
Lusophon
Lu
so
p
h
o
n
if
A
B
C
‾
+
C
B
A
‾
\overline{ABC}+\overline{CBA}
A
BC
+
CB
A
is a perfect square. Find all
L
u
s
o
p
h
o
n
Lusophon
Lu
so
p
h
o
n
numbers.
algebra