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Pan-African Shortlist
2017 Pan-African Shortlist
A2
a+b+c=abc
a+b+c=abc
Source:
August 1, 2017
number theory
Problem Statement
Find all integers
a
,
b
,
c
a,b,c
a
,
b
,
c
such that
a
+
b
+
c
=
a
b
c
a+b+c=abc
a
+
b
+
c
=
ab
c
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