Question

Numerator of a fraction is 5 more than its denominator. If 4 is added to numerator and denominator, the fraction obtained is 6/5. Find the fraction.

Answer 1

Let denominator = x
So, Numerator = ( x + 5 )


$\mathbf{ \textcolor{red}{ \large{fraction \: = \frac{x + 5}{x} }}}$




According to the question, if 4 is added to numerator and denominator, fraction becomes 6/5




$\mathbf{ \frac{x + 5 + 4}{x + 4} = \frac{6}{5} } \\ \\ \\ \rightarrow5(x + 9) = 6(x + 4) \\ \\ \rightarrow5x + 45 = 6x + 24 \\ \\ \rightarrow \: x \: = 21$


Hence,


$\mathbf{fraction = \frac{x + 5}{x} = \frac{21 + 5}{21} = \frac{26}{21} }$

Answer 2

Heya !!



Let denominator of fraction be X .


Numerator = ( X + 5 )


Fraction = X+5/X.



According to the question,




X + 5 + 4 / X + 4 = 6/5




X + 9 / X + 4 = 6/5



5 ( X + 9 ) = 6 ( X + 4 )



5X + 45 = 6X + 24




6X - 5X = 45 - 24



X = 21



Denominator = X = 21


and,


Numerator = X + 5 = 26



Fraction = 26/21.