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5
Moldova JTST 2019 P5
Moldova JTST 2019 P5
Source: Moldova JTST 2019
April 19, 2019
number theory
Problem Statement
Find all triplets of positive integers
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
that verify
(
1
a
+
1
)
(
1
b
+
1
)
(
1
c
+
1
)
=
2
\left(\frac{1}{a}+1\right)\left(\frac{1}{b}+1\right)\left(\frac{1}{c}+1\right)=2
(
a
1
+
1
)
(
b
1
+
1
)
(
c
1
+
1
)
=
2
.
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