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1996 AIME Problems
8
8
Part of
1996 AIME Problems
Problems
(1)
Harmonic Mean
Source:
12/21/2005
The harmonic mean of two positive numbers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs of positive integers
(
x
,
y
)
(x,y)
(
x
,
y
)
with
x
<
y
x<y
x
<
y
is the harmonic mean of
x
x
x
and
y
y
y
equal to
6
20
.
6^{20}.
6
20
.
SFFT