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      Question

      Ratio of two numbers 3:7 and their LCM is 840. Find the

      sum of the given two numbers.
      A 280 Correct Answer Incorrect Answer
      B 360 Correct Answer Incorrect Answer
      C 400 Correct Answer Incorrect Answer
      D 350 Correct Answer Incorrect Answer

      Solution

      Let the two numbers be '3h' and '7h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 3h Γ— 7h = h Γ— 840 Or, 21h = 840 So, 'h' = (840 / 21) = 40 Therefore, the required sum = 3h + 7h = 10h = 10 Γ— 40 = 400 Hence, option c

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