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      Question

      The sum of LCM and HCF of two numbers is 854. If the LCM

      is 60 times the HCF and one of the numbers is 70, then the other number is:
      A 160 Correct Answer Incorrect Answer
      B 164 Correct Answer Incorrect Answer
      C 168 Correct Answer Incorrect Answer
      D 172 Correct Answer Incorrect Answer

      Solution

      1. Let the HCF be x and LCM be 60x. 2. x + 60x = 854 ⇒ x = 14. 3. HCF = 14, LCM = 840. Calculate the other number as 168.

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