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      Question

      Ratio of two numbers 10:21 and their LCM is 2520. Find

      the sum of the given two numbers.
      A 360 Correct Answer Incorrect Answer
      B 372 Correct Answer Incorrect Answer
      C 380 Correct Answer Incorrect Answer
      D 400 Correct Answer Incorrect Answer

      Solution

      Let the two numbers be '10h' and '21h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 10h Ă— 21h = h Ă— 2520 Or, 210h = 2520 So, 'h' = (2520 / 210) = 12 Therefore, the required sum = 10h + 21h = 31h = 31 Ă— 12 = 372 Hence, option b

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