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India Pre-Regional Mathematical Olympiad
2019 India PRMO
26
Computing minimum value of an equation given a particular relation
Computing minimum value of an equation given a particular relation
Source:
August 11, 2019
minimum
Problem Statement
Positive integers
x
,
y
,
z
x, y, z
x
,
y
,
z
satisfy
x
y
+
z
=
160
xy + z = 160
x
y
+
z
=
160
. Compute the smallest possible value of
x
+
y
z
x + yz
x
+
yz
.
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