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      Question

      The LCM of two numbers is 5 times their HCF. The sum of

      LCM and HCF is 180. If one of the numbers is 150, then the other number is
      A 30 Correct Answer Incorrect Answer
      B 10 Correct Answer Incorrect Answer
      C 25 Correct Answer Incorrect Answer
      D 40 Correct Answer Incorrect Answer
      E 35 Correct Answer Incorrect Answer

      Solution

      Let LCM is L and HCF is H L = 5H and L + H = 180 6H = 180, H = 30 L = 5H = 150 L x H = 150 x Second number 30 × 150 = 150 × Second number Second number = 30

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