Answer:
8
Step-by-step explanation:
Let x be the number added to both numerator and denominator.
Initial fraction=7/17
After adding x to both the numerator and the denominator
Then ,we get fraction=3/5
We have to find the value of x.
According to question
[tex]\frac{7+x}{17+x}=\frac{3}{5}[/tex]
[tex]5(7+x)=3(17+x)[/tex]
[tex]35+5x=51+3x[/tex]
[tex]5x-3x=51-35[/tex]
[tex]2x=16[/tex]
[tex]x=\frac{16}{2}=8[/tex]
