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      Question

      HCF of two numbers 70 and 84 can be expressed in the

      form of (20m – 126) whereas LCM of these two numbers can be expressed in the form of (50n – 30). Find the ratio of (n Γ— m).
      A 36 Correct Answer Incorrect Answer
      B 26 Correct Answer Incorrect Answer
      C 63 Correct Answer Incorrect Answer
      D 24.5 Correct Answer Incorrect Answer
      E 27 Correct Answer Incorrect Answer

      Solution

      HCF of 70 and 84 = 14 LCM of 70 and 84 = 420 According to the question, => 20m – 126 = 14 => m = 7 And, 50n – 30 = 420 => n = 9 Required answer = n x m = 63

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