Final answer:
The man's current age is 24 and the son's current age is 8.
Step-by-step explanation:
To solve this problem, let's define the son's age as 'x'.
The man's age is 3 times older than his son, so the man's age can be represented as '3x'.
In 8 years, the man will be twice as old as his son, so we can set up the equation: '3x + 8 = 2*(x + 8)'
Now, we can solve this equation to find the ages of both the man and his son.
By simplifying and solving, we find that the son's current age is 8, and the man's current age is 24.