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      Question

      Ratio of two numbers 6:13 and their LCM is 1950. Find

      the sum of the given two numbers.
      A 450 Correct Answer Incorrect Answer
      B 460 Correct Answer Incorrect Answer
      C 475 Correct Answer Incorrect Answer
      D 490 Correct Answer Incorrect Answer

      Solution

      Let the two numbers be '6h' and '13h', where 'h' is the HCF of the two given numbers. Product of two numbers = (Product of LCM and HCF) of the given two numbers 6h Γ— 13h = h Γ— 1950 Or, 78h = 1950 So, 'h' = (1950 / 78) = 25 Therefore, the required sum = 6h + 13h = 19h = 19 Γ— 25 = 475 Hence, option c

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