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2016 Online Math Open Problems
2
2015-2016 Spring OMO #2
2015-2016 Spring OMO #2
Source:
March 29, 2016
Online Math Open
Problem Statement
Let
x
x
x
,
y
y
y
, and
z
z
z
be real numbers such that
x
+
y
+
z
=
20
x+y+z=20
x
+
y
+
z
=
20
and
x
+
2
y
+
3
z
=
16
x+2y+3z=16
x
+
2
y
+
3
z
=
16
. What is the value of
x
+
3
y
+
5
z
x+3y+5z
x
+
3
y
+
5
z
?Proposed by James Lin
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