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2021 BMT
24
BMT 2021 General p24
BMT 2021 General p24
Source:
September 27, 2023
number theory
Problem Statement
Given that
x
,
y
x, y
x
,
y
, and
z
z
z
are a combination of positive integers such that
x
y
z
=
2
(
x
+
y
+
z
)
xyz = 2(x + y + z)
x
yz
=
2
(
x
+
y
+
z
)
, compute the sum of all possible values of
x
+
y
+
z
x + y + z
x
+
y
+
z
.
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