MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2017 ASDAN Math Tournament
11
2017 Guts #11
2017 Guts #11
Source:
November 25, 2022
2017
Guts Round
Problem Statement
If
a
+
b
+
c
=
12
a+b+c=12
a
+
b
+
c
=
12
and
a
2
+
b
2
+
c
2
=
62
a^2+b^2+c^2=62
a
2
+
b
2
+
c
2
=
62
, what is
a
b
+
b
c
+
a
c
ab+bc+ac
ab
+
b
c
+
a
c
?
Back to Problems
View on AoPS