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      Question

      The HCF and LCM of two natural numbers are 15 and 75,

      respectively. What is the difference between the two numbers, if one of the numbers is 25?
      A 15 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 25 Correct Answer Incorrect Answer
      D 30 Correct Answer Incorrect Answer

      Solution

      Given:
      - HCF = 15
      - LCM = 75
      - First number = 25
      Using the formula:
      HCF Γ— LCM = First number Γ— Second number
      15 Γ— 75 = 25 Γ— Second number
      1125 = 25 Γ— Second number
      Second number = 1125 / 25 = 45
      Difference between two numbers: 45 - 25 = 20

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