MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2017 ASDAN Math Tournament
3
2017 Algebra #3
2017 Algebra #3
Source:
August 20, 2022
2017
Algebra Test
Problem Statement
Let
a
a
a
and
b
b
b
be real numbers such that
a
5
b
8
=
12
a^5b^8=12
a
5
b
8
=
12
and
a
8
b
13
=
18
a^8b^{13}=18
a
8
b
13
=
18
. Find
a
b
ab
ab
.
Back to Problems
View on AoPS