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Problems
Contests
National and Regional Contests
Argentina Contests
Argentina National Olympiad
2000 Argentina National Olympiad
4
4
Part of
2000 Argentina National Olympiad
Problems
(1)
4620 is multiple of a, 4620 is multiple of b and b is multiple of a
Source: Argentina 2000 OMA L3 p4
5/12/2024
Determine the number of pairs of natural numbers
(
a
,
b
)
(a,b)
(
a
,
b
)
that simultaneously verify that
4620
4620
4620
is a multiple of
a
a
a
,
4620
4620
4620
is a multiple of
b
b
b
and
b
b
b
is a multiple of
a
a
a
.
number theory