Question

the numerator of a fraction is 2 less than the denominator if the numerator is reduced by 2 and the denominator is increased by 2 the fraction becomes 1 over 3 find the fraction

Answer 1

Hii !!



Let Denominator of rational number be X.


Numerator = ( X - 2 ).


Rational number = Numerator/Denominator = X - 2 / X.



According to question,









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




X - 4 / X + 2 = 1/3




X + 2 = 3 ( X - 4 )



x+ 2 = 3X - 12



3X - X = 2 + 12


2X = 14


X = 7




Denominator = X = 7


And,

Numerator = X - 2 = 5.


Therefore,

Required Rational number = 5/7.