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      Question

      The HCF of two numbers is 112, and their LCM is 3360.

      What is the sum of the numbers?
      A 1232 Correct Answer Incorrect Answer
      B 1300 Correct Answer Incorrect Answer
      C 1280 Correct Answer Incorrect Answer
      D 1250 Correct Answer Incorrect Answer

      Solution

      Let the two numbers be 112x and 112y.
      Then,
      Product of the numbers = Product of HCF and LCM
      112x Γ— 112y = 112 Γ— 3360
      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
      112 Γ— 5 + 112 Γ— 6 = 112 Γ— 11 = 1232

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