Question

The denominator of a ratinol numbers is 1 greater than numerator if the numerator is increased by 17 and the denominator is deceased by1the numbers became 27 find the ratinol numbers

Answer 1

Hii !!



Let numerator of rational number be X.


Denominator = ( 1 + X ) .


Rational number = Numerator/Denominator = X / X + 1.




According to question,



X + 17 / X + 1 - 1 = 27



X + 17 / X = 27




27X = X + 17



27X - X = 17



26X = 17


X = 17 / 26.


Numerator= X = 17/26.

And,

Denominator = X + 1 = 17/26 + 1 = 17 + 26 / 26 = 43/26.



Therefore,

Required Rational number = Numerator/Denominator = 17 / 26 / 43 / 26 = 17/43.