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      Question

      The ratio of the husband’s age three years from now to

      the wife’s age two years ago is 9:7. Additionally, the ratio of the husband’s age one year ago to the wife’s age ten years from now is 4:5. Determine the current age of the wife.
      A 30 years Correct Answer Incorrect Answer
      B 25 years Correct Answer Incorrect Answer
      C 38 years Correct Answer Incorrect Answer
      D 28 years Correct Answer Incorrect Answer

      Solution

      Let the present ages of the husband and that of the wife be 'x' years and 'y' years, respectively According to the question, (x + 3):(y - 2) = 9:7 Or, 7x + 21 = 9y - 18 Or, 7x = 9y - 39 - [I] Also, (x - 1):(y + 10) = 4:5 Or, 5x - 5 = 4y + 40 Or, 5x = 4y + 45 - [II] Multiplying [II] by 1.4 7x = 5.6y + 63 So, 5.6y + 63 = 9y - 39 Or, 3.4y = 102 So, y = 102 ÷ 3.4 = 30 

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