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      Question

      The ratio of two numbers ‘A’ and ‘B’ is 11:7,

      respectively. If 9 is subtracted from each of ‘A’ and ‘B’, then the ratio of ‘A’ and ‘B’ becomes 2:1. The sum of ‘A’ and ‘B’ is:
      A 108 Correct Answer Incorrect Answer
      B 54 Correct Answer Incorrect Answer
      C 90 Correct Answer Incorrect Answer
      D 72 Correct Answer Incorrect Answer

      Solution

      Let the two numbers ‘A’ and ‘B’ be ‘11x’ and ‘7x’, respectively ATQ; (11x - 9)/(7x - 9) = 2/1 Or, 11x - 9 = 14x - 18 Or, 3x = 9 Or, x = 3 Now, sum of ‘A’ and ‘B’ = 11 × 3 + 7 × 3 = 54

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