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      Question

      The sum of the HCF and LCM of two numbers is 544, and the

      LCM is 16 times the HCF. If one number is 34, find the other. (find the approximate value)
      A 100 Correct Answer Incorrect Answer
      B 260 Correct Answer Incorrect Answer
      C 482 Correct Answer Incorrect Answer
      D 350 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let HCF = x

      Then LCM = 16x

      x + 16x = 544

      ⇒ 17x = 544

      ⇒ x = 32

      Now,

      34 × y = 32 × 16 × 32 = 16384

      ⇒ y = 16384 ÷ 34 = 481.88 or approximate 482

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