The Riddle of the Midnight Meeting
One stormy night in a medieval village, Empiric, the wise plague doctor, and the Silent Watcher, a figure shrouded in mystery, met at the crossroads. Each held a pouch containing coins. Empiric's pouch contained silver coins, while the Silent Watcher's pouch held gold coins.
Empiric said, "If I give you one of my silver coins, our coins will be equal in number." The Silent Watcher replied, "Indeed, and if I give you one of my gold coins, you will have twice as many coins as I will."
The Riddle:
How many coins did Empiric and the Silent Watcher each have originally?