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      Question

      The HCF of two numbers is 72, and their LCM is 2160.

      What is the sum of the numbers?
      A 792 Correct Answer Incorrect Answer
      B 840 Correct Answer Incorrect Answer
      C 850 Correct Answer Incorrect Answer
      D 864 Correct Answer Incorrect Answer

      Solution

      Let the two numbers be 72x and 72y.
      Then,
      Product of the numbers = Product of HCF and LCM
      72x ร— 72y = 72 ร— 2160
      xy = 30
      Let x = 5 and y = 6 (As co-prime factors of 30 are 5 and 6).
      Then, the sum of the numbers is
      72 ร— 5 + 72 ร— 6 = 72 ร— 11 = 792

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