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      Question

      A person 'X' is 8 years younger than 'Y' and also 13 years

      less than twice the age of 'Z'. Given that the ages of 'Y' and 'Z' are in the ratio 5:3, determine the current age of 'X'.
      A 17 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 14 Correct Answer Incorrect Answer
      D 21 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Let 'Y' = 5x, and 'Z' = 3x
      'X' = 'Y' – 8 = 5x – 8
      Also, 'X' = 2('Z') – 13 = 2(3x) – 13 = 6x – 13
      Hence, 5x – 8 = 6x – 13
      x = 5
      'X' = 5(5) – 8 = 25 – 8 = 17

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