Answer:
A. 3/5
Step-by-step explanation:
let x be the numerator therefore the denominator is 2+x, so the fraction can be express as
[tex]\frac{x}{2+x}[/tex]
when both numerator and denominator is increase by 3, the resulting fraction is 3/4 this can be written as
[tex]\frac{x + 3}{2 + x +3}[/tex] = 3/4
solving the equation we get the value of x
4 (x + 3) = 3 ( x + 5 )
4x + 12 = 3x + 15
x = 3
going back to the original fraction and substitutes x
= [tex]\frac{x}{2+x}[/tex]
=[tex]\frac{3}{2+3}[/tex]
= 3/5
