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6
2006 SMT Algebra #6 - All Values of a+b+c
2006 SMT Algebra #6 - All Values of a+b+c
Source:
August 24, 2011
SFFT
Problem Statement
Let
a
,
b
,
c
a,b,c
a
,
b
,
c
be real numbers satisfying:
a
b
−
a
=
b
+
119
ab-a=b+119
ab
−
a
=
b
+
119
b
c
−
b
=
c
+
59
bc-b=c+59
b
c
−
b
=
c
+
59
c
a
−
c
=
a
+
71
ca-c=a+71
c
a
−
c
=
a
+
71
Determine all possible values of
a
+
b
+
c
a+b+c
a
+
b
+
c
.
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