Question

The numerator of a fraction is 3 less than the denominator.if denominater is increased by 5,the numerator is incresed by 2 by the fraction1/2.find the fraction.

Answer 1

Hii !!




Let Denominator of fraction be X.


Numerator = ( X - 3 ).



Fraction = Numerator / Denominator = X-3/X.



According to the question,




X + 5 / X - 3 + 2 = 1/2





X + 5 / X - 1 = 1/2




2 ( X + 5 ) = X - 1


2X + 10 = X - 1




2X - X = -1 - 10



X = -11



Denominator = X = -11.

And,

Numerator = X - 3 = -11 - 3 = -14.




Fraction = Numerator / Denominator = -14/-11 = 14/11