### Legend has it that the great geometer Euclid composed a puzzle which went as follows...

A mule and a donkey were stumbling along the road, each carrying several identical heavy sacks.

The donkey starting complaining, making a horrible groaning noise, and eventually the mule got fed up.

**‘What are you complaining for? If you gave me one sack, I’d have twice as many as you! And if I gave you one sack, we’d be carrying the same load.’**

###### How many sacks were the donkey and the mule carrying?

As seen on page 224, *Professor Stewart's Hoard of Mathematical Treasures*