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      Question

      The ratio of two numbers ‘P’ and ‘Q’ is 5:4,

      respectively. If 10 is subtracted from each of ‘P’ and ‘Q’, then the ratio of ‘P’ and ‘Q’ becomes 4:3. The sum of ‘P’ and ‘Q’ is:
      A 80 Correct Answer Incorrect Answer
      B 90 Correct Answer Incorrect Answer
      C 100 Correct Answer Incorrect Answer
      D 70 Correct Answer Incorrect Answer

      Solution

      Let the two numbers ‘P’ and ‘Q’ be ‘5x’ and ‘4x’, respectively ATQ; (5x - 10)/(4x - 10) = 4/3 Or, 15x - 30 = 16x - 40 Or, x = 10 Now, sum of ‘P’ and ‘Q’ = 5 × 10 + 4 × 10 = 90

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