2 and 3, what could be worse?

Take two numbers that add to 2 and multiply to 3. What is the sum of the reciprocals of these two numbers? The "truly mind-blowing" way to do this is like how I did it, going through the quadratic formula and such. Let a be one of the numbers, therefore the other number is 2-a. … Continue reading 2 and 3, what could be worse?

The banana length puzzle

This is a puzzle from How to bake π by Eugenia Cheng, if you haven't checked it out, make sure to do so. Here we go... A rope over the top of a fence has the same length on each side, and weighs one-third of a pound per foot. On one end hangs a monkey … Continue reading The banana length puzzle