A farmer grew a delicious apple which he wanted to take to the king. The castle was surrounded by seven gated walls, with a guard at each gate. At the first gate, the farmer asked if he could go through to see the king.
GUARD: You may go through if you give me 1/2 of you apples.
FARMER: I will, but you must give back one.
GUARD: Agreed
This was repeated with each of the seven guards. When the farmer got to the king, he had the same number of apples he started with. How many?
Answer:
Two
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