MathematicsIf the numerator of a fraction is increased by and the denominator is increased by , the resultant fraction is . What is the original fraction ?

If the numerator of a fraction is increased by and the denominator is increased by , the resultant fraction is . What is the original fraction ?


  1. A
  2. B
  3. C
  4. D
     

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    Solution:

    Concept- In order to begin solving the issue, let's assume a fraction where the numerator is x and the denominator is y. Using the circumstances provided, we then compare it to . Then, we can determine what x and y are worth.
    We start the problem by assuming the fraction as . That is we assume the numerator as and the denominator as y. Now, we are given that the numerator is increased by and the denominator is increased by . Thus, we have that the new numerator is 3 x200 % of is 2 x and thus increasing by 2 x, we get ). Similarly, for the denominator, we have the new denominator as 4.5 y350 % of is 3.5 y and thus increasing by 3.5 y, we get ).
     Equating this to , we have,
    Hence, the correct answer is 2.
     
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