MathDB
Problems
Contests
National and Regional Contests
India Contests
Postal Coaching
2016 Postal Coaching
1
Sum and product equal to 6
Sum and product equal to 6
Source: India Postal Set 5 P 1 2016
January 18, 2017
number theory
rational number
Problem Statement
Show that there are infinitely many rational triples
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
such that
a
+
b
+
c
=
a
b
c
=
6.
a + b + c = abc = 6.
a
+
b
+
c
=
ab
c
=
6.
Back to Problems
View on AoPS