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Kosovo & Albania Mathematical Olympiad
2022 Kosovo & Albania Mathematical Olympiad
1
Easy diophantine equation
Easy diophantine equation
Source: KAMO 2022 Grades 7-8 P1
July 5, 2022
number theory
Diophantine equation
Problem Statement
Find all pairs of integers
(
m
,
n
)
(m, n)
(
m
,
n
)
such that
m
+
n
=
3
(
m
n
+
10
)
.
m+n = 3(mn+10).
m
+
n
=
3
(
mn
+
10
)
.
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