1.

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» 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} }


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