Question 891932
The first part gives the fraction.  The second part gives a description between numerator and denominator.


n for numerator;
d for denominator.


{{{n/d=3/4}}}.  This shows ratio between n and d, regardless of reduced or in other terms.


{{{2n=34+d}}}, notice from the wording, "would be 34 greater", meaning ADDITION.
That could be a reason why you found the question difficult.


{{{d=2n-34}}};
substitute into the reduced-form equation.
{{{highlight_green(n/d=highlight_green(n/(2n-34)=3/4))}}}.
Solve the inner-green outlined part for n.
-
{{{4n=3(2n-34)}}}
{{{4n=6n-3*34}}}
{{{4n-6n=-3*34}}}
{{{-2n=-3*34}}}
{{{2n=3*34}}}
{{{n=3*17}}}
{{{highlight(n=51)}}}
-
{{{d=2*51-34}}}
{{{d=102-34}}}
{{{highlight(d=68)}}}


CHECK:
{{{n/d=highlight(51/68)=(3*17)/(4*17)=3/4}}}
YES.


(Notice in the "CHECK", the {{{n/d}}} is outlined in red.)



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I made the same mistake that you probably made, when going through the problem the first time.