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      Question

      Three numbers are in the ratio 2:5:9. If the difference

      between the sum of the smallest and the largest and the sum of the smallest and the second number is 28, find the greatest number.
      A 55 Correct Answer Incorrect Answer
      B 88 Correct Answer Incorrect Answer
      C 70 Correct Answer Incorrect Answer
      D 63 Correct Answer Incorrect Answer

      Solution

      ATQ, Let the three numbers be 2x, 5x and 9x respectively. ATQ, (2x + 9x) – (2x + 5x) = 28 Or, 4x = 28 So, x = 7 Therefore, largest number = 9x = 9 × 7 = 63

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