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      Question

      Ratio of two numbers 8:15 and their LCM is 2400. Find

      the sum of the given two numbers.
      A 420 Correct Answer Incorrect Answer
      B 440 Correct Answer Incorrect Answer
      C 460 Correct Answer Incorrect Answer
      D 480 Correct Answer Incorrect Answer

      Solution

      Let the two numbers be '8h' and '15h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 8h × 15h = h × 2400 Or, 120h = 2400 So, 'h' = (2400 / 120) = 20 Therefore, the required sum = 8h + 15h = 23h = 23 × 20 = 460 Hence, option c

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