Question

the numerator of a fraction I 2 less than the denominator . If 3 is added to the both the numerator the fraction becomes ¾ find the fraction​

Answer 1

Answer:

let the numerator be x and denominator be y

x=y-3

$\frac{x + 3}{y + 3} = \frac{3}{4} \\ 4(x + 3) = 3(y + 3) \\ 4x + 12 = 3y + 9 \\ 4x + 3 = 3y \\ 4(y - 2) + 3 = 3y \\ 4y - 8 + 3 = 3y \\ 4y - 5 = 3y \\ 4y - 3y = 5 \\ y = 5 \\ x = y - 2 \\ x = 5 - 2 \\ x = 3 \\ the \: fraction \: is \: \frac{3}{5}$