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Nigerian Senior Mathematics Olympiad Round 2
2022 Nigerian Senior MO Round 2
Problem 1
Diophantine equation
Diophantine equation
Source: 2022 Nigerian Senior MO Round 2/Problem 1
May 6, 2022
Diophantine equation
number theory
Problem Statement
Find all integer solutions of the equation
x
y
+
5
x
ā
3
y
=
27
xy+5x-3y=27
x
y
+
5
x
ā
3
y
=
27
.
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