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Your secret number is 36. Write a series of interesting clues using factors and multiples-

a. Clue 1: I am a multiple of 6.
b. Clue 2: The sum of my digits is 9.
c. Clue 3: I am divisible by both 4 and 9.
d. Clue 4: I am the product of 3 and 12.

User Cgon
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1 Answer

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Final answer:

The secret number is 36 and each clue helps us understand why.

Step-by-step explanation:

The secret number is 36. Let's go through each clue to understand why:

  1. Clue 1: A multiple of 6 means that it can be divided evenly by 6. Since 36 ÷ 6 = 6, this clue confirms that the secret number is a multiple of 6.
  2. Clue 2: The sum of the digits in 36 is 3 + 6 = 9. So, this clue tells us that the secret number has a sum of digits equal to 9.
  3. Clue 3: 36 is divisible by both 4 and 9. Dividing 36 by 4 gives us 9, and by 9 gives us 4. Therefore, this clue indicates that the secret number is divisible by both 4 and 9.
  4. Clue 4: If the secret number is the product of 3 and 12, then it must be 3 × 12 = 36. So, this clue confirms that the secret number is indeed 36.

The secret number is 36 and all the clues match!

User Luislhl
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