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      Question

      Three numbers are in the ratio 6:9:14. If the difference

      between the sum of the smallest and the largest number and the sum of the smallest and the second largest number is 30, then find the largest number.
      A 48 Correct Answer Incorrect Answer
      B 75 Correct Answer Incorrect Answer
      C 84 Correct Answer Incorrect Answer
      D 70 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;
      Let the three numbers be 6x, 9x, and 14x, respectively.
      ATQ,
      (6x+14x)тИТ(6x+9x)=30
      20xтИТ15x=30
      5x=30
      x=6
      Therefore, the largest number = 14x = 14 ├Ч 6 = 84

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