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      Question

      The sum of three numbers is 114. On dividing the largest

      number by the smallest number, the result is 8, which is 1/3rd of the second largest number. Find the largest number.
      A 50 Correct Answer Incorrect Answer
      B 80 Correct Answer Incorrect Answer
      C 95 Correct Answer Incorrect Answer
      D 65 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the three numbers be: Largest number = A Second largest number = B Smallest number = C A + B + C = 114 Given, A / C = 8 тЗТ A = 8C Also, 8 = (1/3) ├Ч B тЗТ B = 24 Now, A + C = 114 тАУ 24 = 90 Substitute A = 8C: 8C + C = 90 9C = 90 C = 10 So, A = 8C = 8 ├Ч 10 = 80 Largest number = 80

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