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Puzzle 1
Last week I decided to cycle to my Grandparents's house.
On the 1st day, I cycled half of the distance.
On the 2nd day, I cycled one half of the remaining distance.
On the 3rd day, I cycled three quarters of the remaining distance.
On the 4th day, I cycled 10 miles.
On the 5th day, I cycled two thirds of the remaining distance.
On the final day, I cycled the remaining 5 miles.
How far is it to my Grandparent's house?
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Puzzle 2
Can you make this equation correct by moving exactly one matchstick?
Note: this puzzle is not interactive, and the matchsticks cannot be moved. The matchstick layouts for each digit are:
