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Lucky 13

For once, 13 is a lucky number! Make the most of it!

The kings allow the magician to pull off this trick. How does it work? What does the number 13 represent? 

Pay close attention, remember the important parts and, in turn, you will be a magician too! Can you explain why and how the trick works? A bit of arithmetic, a hint of algebra… How will you overcome this challenge?