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      Question

      A person 'M' is 5 years younger than 'N' and also 9

      years less than twice the age of 'P'. Given that the ages of 'N' and 'P' are in the ratio 7:4, determine the current age of 'M'.
      A 17 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 14 Correct Answer Incorrect Answer
      D 23 Correct Answer Incorrect Answer

      Solution

      ATQ;
      Let 'N' = 7x, and 'P' = 4x
      'M' = 'N' – 5 = 7x – 5
      Also, 'M' = 2('P') – 9 = 2(4x) – 9 = 8x – 9
      Hence, 7x – 5 = 8x – 9
      x = 4
      'M' = 7(4) – 5 = 28 – 5 = 23

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