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      Question

      The HCF and LCM of two natural numbers are 6 and 36,

      respectively. What is the difference between the two numbers, if one of the numbers is 18?
      A 18 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 16 Correct Answer Incorrect Answer
      D 6 Correct Answer Incorrect Answer

      Solution

      Given:
      - HCF = 6
      - LCM = 36
      - First number = 18
      Using the formula:
      HCF × LCM = First number × Second number
      6 × 36 = 18 × Second number
      216 = 18 × Second number
      Second number = 216 / 18 = 12
      Difference between two numbers: 18 - 12 = 6

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