Mike is 16 years old. His sister Barbara is half as old as he is. How old is Barbara going to be when Mike is 24 years old? Let's be accurate as possible.
Barbara is currently 16 years / 2 = 8 years old. Mike is going to be 24 years old after 24 years - 16 years = 8 years. So Barbara is going to be 8 years + 8 years = 16 years old.
The answer: 16.