Question 1148071
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Let x be the numerator.

Then the denominator is  2x+3, according to the condition.


Hence, the original fraction is  {{{x/(2x+3)}}}.


The modified fraction is  {{{(x-5)/((2x+3)-5)}}} = {{{(x-5)/(2x-2)}}}, and you are given that  it is  25.


It gives you an equation


    {{{(x-5)/(2x-2)}}} = 25.


It implies


    x - 5 = 50x - 50

    50-5 = 50x-x

    45   = 49x

    x    = {{{45/49}}}


<U>ANSWER</U>.  The original fraction is  {{{((45/49))/((2*(45/49)+3))}}}.


         Since the problem instructs me "DO NOT SIMPLIFY", I should stop at this point.
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My personal opinion is that most of such problems violate the notions and the rules of arithmetic and contradict them.