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2000 Harvard-MIT Mathematics Tournament
1
2000 HMMT RMT General #1
2000 HMMT RMT General #1
Source:
March 8, 2024
algebra
Problem Statement
If
a
=
2
b
+
c
a = 2b + c
a
=
2
b
+
c
,
b
=
2
c
+
d
b = 2c + d
b
=
2
c
+
d
,
2
c
=
d
+
a
−
1
2c = d + a -1
2
c
=
d
+
a
−
1
,
d
=
a
−
c
d = a - c
d
=
a
−
c
, what is
b
b
b
?
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