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      Question

      The LCM and HCF of two numbers are 1105 and 5. If the

      LCM is 17 times the first number, then find the two numbers.
      A 65 and 85 Correct Answer Incorrect Answer
      B 55 and 85 Correct Answer Incorrect Answer
      C 65 and 75 Correct Answer Incorrect Answer
      D 60 and 80 Correct Answer Incorrect Answer

      Solution

      LCM = 1105 HCF = 5 Let the first number be x and the second number be y. 17x = 1105 X=1105/17=65 We know, LCM × HCF = x× y 1105×5=65x y Y =17×5=85 Hence, the correct answer is 65 and 85.

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