Final answer:
To find the father's current age, we can set up an equation based on the given information. By solving the equation, we find that the son's current age is 28.5 years. Assuming it is the year 2022, the father's current age would be 1993.5 years old.
Step-by-step explanation:
To solve this problem, we need to set up an equation based on the given information. Let's assume the son's current age is 'x'. According to the problem, the father's age 2/3 of the son's age ago was twice the son's age. So, the father's age '2/3x' years ago was '2x'. We also know that the son's age after 5 years will be 24, so the son's current age is 'x' years.
Now, we can set up the equation: '2/3x + 5 = 24'. To solve this equation, we can subtract 5 from both sides to get '2/3x = 19', and then multiply both sides by 3/2 to get 'x = 28.5'.
Therefore, the son's current age is 28.5 years. To find the father's current age, we can subtract the son's age from the current year, assuming the son's birthday has already passed. So, if the son is currently 28.5 years old, and let's say it is the year 2022, the father's current age would be 2022 - 28.5 = 1993.5 years old.