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      Question

      Three numbers are in the ratio 2:5:7. 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 15, then find the largest number.
      A 48.8 Correct Answer Incorrect Answer
      B 52.5 Correct Answer Incorrect Answer
      C 84.4 Correct Answer Incorrect Answer
      D 70.5 Correct Answer Incorrect Answer

      Solution

      ATQ;
      Let the three numbers be 2x, 5x, and 7x, respectively.
      ATQ,
      (2x+7x) − (2x+5x) = 15
      9x−7x=15
      2x=15
      x=7.5
      Therefore, the largest number = 7x = 7 × 7.5 = 52.5

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