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Solve the 5-Digit Number Puzzle and Perfectly Time a 9-Minute Egg

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Challenge your mind with two intriguing puzzles! First, find the elusive five-digit number, using clues about its size, digit restrictions, and relationships. The number must be even, fall between 20,000 and 77,777, and have unique digits. Meanwhile, as a cook in a whimsical land with no clocks, determine the best way to prepare a nine-minute egg using a four-minute and a seven-minute hourglass. Can you calculate the least time needed and the method to achieve the perfect egg?

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Solve the 5-Digit Number Puzzle and Perfectly Time a 9-Minute Egg

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Presentation Transcript

  1. Puzzle A Puzzle B

  2. A number has 5 digits but none of the digits in the number are repeated. • This even number is greater than 20000 but less than 77777. • The digit in the thousands place is 3 times the digit in the ten thousands place. • The ones digit is less than the ten thousands digit and the ones digit is also a prime number. • The hundreds digit is half the sum of the ones, thousands, and ten thousands digits. • Lastly, the tens digit is the product of two other digits. • What is this five-digit number?

  3. You're a cook in a restaurant in a quaint country where clocks are outlawed. You have a four minute hourglass, a seven minute hourglass, and a pot of boiling water. A regular customer orders a nine-minute egg, and you know this person to be extremely picky and will not like it if you overcook or undercook the egg, even by a few seconds. What is the least amount of time it will take to prepare the egg, and how will you do it?

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