Respuesta :

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]

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