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      Question

      The ratio of two numbers β€˜M’ and β€˜N’ is 8:5,

      respectively. If 14 is subtracted from each of β€˜M’ and β€˜N’, then the ratio of β€˜M’ and β€˜N’ becomes 3:1. The sum of β€˜M’ and β€˜N’ is:
      A 52 Correct Answer Incorrect Answer
      B 78 Correct Answer Incorrect Answer
      C 65 Correct Answer Incorrect Answer
      D 130 Correct Answer Incorrect Answer

      Solution

      Let the two numbers β€˜M’ and β€˜N’ be β€˜8x’ and β€˜5x’, respectively ATQ; (8x - 14)/(5x - 14) = 3/1 Or, 8x - 14 = 15x - 42 Or, 7x = 28 Or, x = 4 Now, sum of β€˜M’ and β€˜N’ = 8 Γ— 4 + 5 Γ— 4 = 52

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