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2022 BMT
5
BMT 2022 Fall Algebra P5
BMT 2022 Fall Algebra P5
Source:
May 5, 2023
algebra
Problem Statement
For real numbers
B
,
M
,
B,M,
B
,
M
,
and
T
,
T,
T
,
we have
B
2
+
M
2
+
T
2
=
2022
B^2+M^2+T^2 =2022
B
2
+
M
2
+
T
2
=
2022
and
B
+
M
+
T
=
72.
B+M+T =72.
B
+
M
+
T
=
72.
Compute the sum of the minimum and maximum possible values of
T
.
T.
T
.
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