Question

if a certain number is added to both the numerator and denominator of the fraction 8/9, the result is 6/7. Find the numer.

Answer 1

`\begin{gathered} \text{The given fraction is}\Rightarrow(8)/(9) \\ \text{Add x in both numerator and denominator as,} \\ \Rightarrow(8+x)/(9+x)=(6)/(7) \\ 7(8+x)=6(9+x) \\ 56+7x=54+6x \\ x=54-56 \\ x=-2 \end{gathered}`