Let the numerator = x
The denominator of a fraction is 2 more than the numerator
So, the denominator = x + 2
if both numerator and denominator are increased by 10, a simplified result is 9/10.
So,
[tex]\frac{x+10}{(x+2)+10}=\frac{9}{10}[/tex]Solve for x:
[tex]\begin{gathered} \frac{x+10}{x+12}=\frac{9}{10} \\ \\ 10(x+10)=9(x+12) \\ 10x+100=9x+108 \\ 10x-9x=108-100 \\ x=8 \end{gathered}[/tex]so, the original fraction will be = 8/10
So, the answer will be = 8/10
