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      Question

      HCF of two numbers 70 and 140 can be expressed in the

      form of (20m – 110) whereas LCM of these two numbers can be expressed in the form of (40n – 20). Find the ratio of (n × 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 140 = 70 LCM of 70 and 140 = 140 According to the question, => 20m – 110 = 70 => m = 9 And, 40n – 20 = 140 => n = 4 Required answer = n x m = 36

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