Question

The Ancient Wizard Albus owns 3 ancient Clocks of
Perpetual Motion. Every day, Clock #1 runs 20 minutes fast;
Clock #2 runs 30 minutes fast, and Clock #3 runs 40 minutes
fast. He sets all three clocks to the correct time and leaves to
visit his friend. After many days, he returns home and, to his
surprise, finds all 3 clocks showing the correct time again!
What is the fewest possible number of days Albus could have
spent away from home?

Answer 1

Answer:

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