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      Question

      A fraction becomes 2/3 when one is added to both the

      numerator and the denominator of the fraction, and it becomes 1/2, when 2 is subtracted from both the numerator and denominator. What is the sum of the numerator and denominator of the original fraction?
      A 7 Correct Answer Incorrect Answer
      B 13 Correct Answer Incorrect Answer
      C 8 Correct Answer Incorrect Answer
      D 11 Correct Answer Incorrect Answer

      Solution

      2x-4=y-2 2x-y =2           y=2x-2            … (2) After Solving Equations- x=5 and y=8 So, fraction is =5/8 Sum of  the numerator and denominator of the original fraction=5+8=13.

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