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Putnam
1960 Putnam
A1
A1
Part of
1960 Putnam
Problems
(1)
Putnam 1960 A1
Source: Putnam 1960
6/11/2022
Let
n
n
n
be a given positive integer. How many solutions are there in ordered positive integer pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
to the equation
x
y
x
+
y
=
n
?
\frac{xy}{x+y}=n?
x
+
y
x
y
=
n
?
Putnam
equations
Integers