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Hanoi Open Mathematics Competition
2009 Hanoi Open Mathematics Competitions
7
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Hanoi Open ....
Source:
March 11, 2014
inequalities open
inequalities
Problem Statement
Let
a
,
b
,
c
,
d
a,b,c,d
a
,
b
,
c
,
d
be positive integers such that
a
+
b
+
c
+
d
=
99
a+b+c+d=99
a
+
b
+
c
+
d
=
99
. Find the maximum and minimum of product
a
b
c
d
abcd
ab
c
d
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