Question

a fraction becomes 1 by 2 if 5 is subtracted from its numerator and 3 is subtracted from its denominator if the denominator of distraction is 5 more than its numerator find the fraction

Answer 1

Heya !!!!



Let the numerator of fraction be X.


Then denominator of fraction = X + 5


Fraction = Numerator/Denominator = X/X+5


5 is subtracted from the numerator of fraction then the new numerator = (X-5) and 3 is subtracted from it's denominator then the new denominator = (X+5-3) = (X+2)


Fraction = Numerator/Denominator = X-5/X+2



According to question,


X -5/ X + 2 = 1/2



2(X-5) = 1(X+2)

2X - 10 = X + 2


2X - X = 2 + 10


X = 12


Numerator = X = 12


and,


Denominator = X+5 = ( 12 + 5) = 17


Therefore,


Fraction = Numerator/Denominator = 12/17



HOPE IT WILL HELP YOU....... :-)

Answer 2

Let,

numerator of original fraction = x 
denominator of original fraction = x + 5 

fraction = x/(x + 5)

===========================

According to the question,

(x -  5)/(x +  5 - 3) = 1/2 

(x - 5 )/(x + 2) = 1/2

2(x - 5) = x + 2  

2x  - 10  = x  + 2  

2x -x =  2 + 10 

x = 12

Now,

Fraction = x/(x + 5)=  (12)/(12 + 5) = 12/17 






Original fraction = 12/17



i hope this will help you


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