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5
2017 Guts #5: Diophantine equation II
2017 Guts #5: Diophantine equation II
Source:
February 21, 2017
number theory
Diophantine equation
Problem Statement
Find the number of ordered triples of positive integers
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
such that
6
a
+
10
b
+
15
c
=
3000.
6a + 10b + 15c = 3000.
6
a
+
10
b
+
15
c
=
3000.
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