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(a,b,c) such that a, b, c divide a+b+c - Iran First Round 2018, P12
(a,b,c) such that a, b, c divide a+b+c - Iran First Round 2018, P12
Source:
March 7, 2021
number theory
Divisibility
Problem Statement
How many triples
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
of positive integers strictly less than
51
51
51
are there such that
a
+
b
+
c
a+b+c
a
+
b
+
c
is divisible by
a
,
b
a, b
a
,
b
, and
c
c
c
?
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