Miraculous Solution To HARD Test Problem

This one stumped me! This problem is part of the AIME, a qualifying test for the US Mathematical Olympiad team. The talented students who take the AIME only average about 20 percent–it’s a hard test! Plus no calculators are allowed. Can you figure out this problem from the 1987 test? Learn the trick which results in a miraculous solution. Thanks to all patrons! Special thanks this month to: Michael Anvari, Shrihari Puranik, Richard Ohnemus, Kyle.

Art of problem solving proof
Sophie Germain’s story is worth reading (the video has a hyphen in her name by mistake)


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My Books
“The Joy of Game Theory” shows how you can use math to out-think your competition. (rated 4.0/5 stars on 38 reviews)

“The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias” is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 3.5/5 stars on 4 reviews)

“Math Puzzles Volume 1” features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews.

“Math Puzzles Volume 2” is a sequel book with more great problems. (rated 4.5/5 stars on 6 reviews)

“Math Puzzles Volume 3” is the third in the series. (rated 4/5 stars on 6 reviews)

“40 Paradoxes in Logic, Probability, and Game Theory” contains thought-provoking and counter-intuitive results. (rated 4.4/5 stars on 13 reviews)

“The Best Mental Math Tricks” teaches how you can look like a math genius by solving problems in your head (rated 4.8/5 stars on 5 reviews)

“Multiply Numbers By Drawing Lines” This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 4.3/5 stars on 6 reviews)

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