Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online
‚
Books for Grades 5-12
Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy
‚
Books for Ages 6-13
Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy
‚
Find a Physical Campus
Visit the Virtual Campus
Sign In
Register
online school
Class Schedule
Recommendations
Olympiad Courses
Free Sessions
books
tore
AoPS Curriculum
Beast Academy
Online Books
Recommendations
Other Books & Gear
All Products
Gift Certificates
community
Forums
Contests
Search
Help
resources
math training & tools
Alcumus
Videos
For the Win!
MATHCOUNTS Trainer
AoPS Practice Contests
AoPS Wiki
LaTeX TeXeR
MIT PRIMES/CrowdMath
Keep Learning
contests on aops
AMC
MATHCOUNTS
Other Contests
news and information
AoPS Blog
Emergency Homeschool Resources
Podcast: Raising Problem Solvers
just for fun
Reaper
Greed Control
All Ten
view all
0
Sign In
Register
JavaScript is not enabled. JavaScript is required to fully utilize the site.
AoPS Wiki
Resources
Aops Wiki
1981 AHSME Problems/Problem 15
Page
Article
Discussion
View source
History
Toolbox
Recent changes
Random page
Help
What links here
Special pages
Search
1981 AHSME Problems/Problem 15
Revision as of 18:09, 23 October 2021 by
Arcticturn
(
talk
|
contribs
)
(
→
Problem
)
(
diff
)
← Older revision
| Latest revision (diff) | Newer revision → (diff)
Problem
If
,
, and
, then
is
Solution
Something appears to not have loaded correctly.
Click to refresh
.