The Ergo Sum Game: Chapter 5
In which our hero, Dr. Pete, faces the most absurd of absurdities: the Sum of the Squares.

You have 10 squares, each with a different number on it. The sum of the squares is equal to the sum of their individual sums.

Sounds simple enough, right? But wait, there's more!

You see, the sum of the squares of the odd numbers is equal to the sum of the squares of the even numbers.

But, of course, that means that the sum of all the squares is... the sum of the squares!
Go ahead, try to wrap your head around it.