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pos. integers a=b if (5a + 3b) is divisible by (a + b) (2021 Polish JMO R2 p3)
pos. integers a=b if (5a + 3b) is divisible by (a + b) (2021 Polish JMO R2 p3)
Source:
April 8, 2021
number theory
divisible
divides
Problem Statement
Given are positive integers
a
,
b
a, b
a
,
b
for which
5
a
+
3
b
5a + 3b
5
a
+
3
b
is divisible by
a
+
b
a + b
a
+
b
. Prove that
a
=
b
a = b
a
=
b
.
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