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      Question

      The sum of HCF and LCM of two numbers is 765. The LCM is 84

      times the HCF. If one of the numbers is 85, what is the other number? (find approximate value)
      A 10 Correct Answer Incorrect Answer
      B 26 Correct Answer Incorrect Answer
      C 80 Correct Answer Incorrect Answer
      D 50 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let HCF = x

      Then LCM = 84x

      x + 84x = 765

      ⇒ 85x = 765

      ⇒ x = 9

      Now,

      85 × y = 9 × 84 × 9 = 6804

      ⇒ y = 6804 ÷ 85 = 80.047 or approximate 80

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