let numerator be x and denominator be y
x = y-3...eqn 1
{(x +7)/ (y+5) } - x/y = 1/2... eqn 2
expandin eqn 2...
2y(x+7) - 2x(y+5) = y(y+5)
=》 2xy + 14y - 2xy -10x = y^2 + 5y
=》 14y - 10x = y^2 + 5y...eqn 3
subst x = y-3 in eqn 3
=》 y^2 + 5y - 14y + 10y -30 = 0
=》 y^2 + y - 30 = 0
solving the eqn
y = 5 thus x = 2
subst y = x+3 into eqn 2
2x +14 = x +8
x = -6