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2020 BMT Fall
4
2020 BMT Individual 4
2020 BMT Individual 4
Source:
January 9, 2022
number theory
Problem Statement
Let
a
,
b
a, b
a
,
b
, and
c
c
c
be integers that satisfy
2
a
+
3
b
=
52
2a + 3b = 52
2
a
+
3
b
=
52
,
3
b
+
c
=
41
3b + c = 41
3
b
+
c
=
41
, and
b
c
=
60
bc = 60
b
c
=
60
. Find
a
+
b
+
c
a + b + c
a
+
b
+
c
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