Let $$x$$ be the father's current age. According to the father, half of his age is equal to his age 15 years ago. So, we can write the equation: $$\frac{x}{2} + 15 = x - 15$$ Now we need to solve for $$x$$: $$\frac{x}{2} = x - 30$$ Subtract $$x$$ from both sides: $$\frac{x}{2} - x = -30$$ $$-\frac{x}{2} = -30$$ Multiply both sides by -2: $$x = 60$$ Therefore, the father's current age is 60. Answer: 60