The difference of the ages of a father and his son is 18 years. After 6 years, the sum of their ages will be 54 years. Find the product of their ages 10 years ago.

Let the present age of son be x years. Then, present age of father = (x + 18) years After 6 years, son's age = (x + 6) years and father's age = (x + 18 + 6) years = (x + 24) years Now, according to question, (x + 6) + (x + 24) = 54 2x + 30 = 54 x = 12 So, present age of son = 12 years and present age of father = 12 + 18 = 30 years Ten years ago, father's age = 30 - 10 = 20 years and son's age = 12 - 10 = 2 years Now, product of their ages = 20 years x 2 years= 40 years²