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  The Two Digit Number Puzzle Question : You have to find a two-digit number that meets the following criteria: The number is a multiple of 3. The sum of its digits is 7. Can you find the number? Solution: Let's break down the criteria: The number is a multiple of 3: This means the number could be 12, 15, 18, 21, 24, ..., 99. The sum of its digits is 7: The sum of the digits must be 7, so the possible pairs of digits are (1, 6), (2, 5), and (3, 4). Now, let's find a number that satisfies both conditions: For the pair (1, 6), the number is 16. However, 16 is not a multiple of 3. For the pair (2, 5), the number is 25. 25 is not a multiple of 3. For the pair (3, 4), the number is 34. 34 is not a multiple of 3. We need to keep searching. For the pair (4, 3), the number is 43. 43 is not a multiple of 3. For the pair (5, 2), the number is 52. 52 is not a multiple of 3. For the pair (6, 1), the number is 61. 61 is not a multiple of 3. Continuing... For the pair (7, 0), the number is 7...

  The Four Digit Number Puzzle Question : You have to find a four-digit number that meets the following criteria: The number is greater than 999. The first digit is three times the second digit. The third digit is half the first digit. The fourth digit is equal to the sum of the second and third digits. Can you find the number? Solution: Let's break down the criteria: The number is greater than 999: This means the number must be between 1000 and 9999. The first digit is three times the second digit: Let's represent the first digit as 𝑎 a and the second digit as 𝑏 b . So, 𝑎 = 3 𝑏 a = 3 b . The third digit is half the first digit: The third digit is 𝑎 2 2 a ​ . The fourth digit is equal to the sum of the second and third digits: The fourth digit is 𝑏 + 𝑎 2 b + 2 a ​ . Now, let's find a number that satisfies all these conditions: From condition 1, the number must be greater than 999, so the first digit 𝑎 a must be at least 3. The second digit 𝑏 b can be any dig...