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      Question

      The sum of HCF and LCM of two numbers is 425. If the LCM is

      16 times the HCF, and one number is 25, find the second.
      A 100 Correct Answer Incorrect Answer
      B 260 Correct Answer Incorrect Answer
      C 400 Correct Answer Incorrect Answer
      D 350 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let HCF = x

      LCM = 16x

      x + 16x = 425

      тЗТ 17x = 425

      тЗТ x = 25

      Now,

      25 ├Ч y = 25 ├Ч 16 ├Ч 25

      тЗТ 25y = 10000

      тЗТ y = 10000 ├╖ 25 = 400

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