Question 1204198
The numerator of a fraction is 5 less than its denominator.

Let numerator be x
denominator will be x+5

The fraction is x/(x+5)


 If 6 is added to the numerator and 4 to the denominator, the fraction is doubled. 

(x+6)/(x+5+4)= 2* (x/(x+5))

(x+6)/(x+9) = 2x/(x+5)

(x+6)(x+5) =2x(x+9)

x^2+11x+30 =2x^2+18x

Re arrange 

x^2+7x-30 =0

x^2+10x-3x-30=0

x(x+10)-3(x+10)=0

(x+10)(x-3)=0

x=-10 or 3

Now write the fraction