Question 1058030
If the father's age is four times the current sum of the children's ages, x, then
the father's age can be represented by 4x.


In 8 years, the father's age will be 4x + 8.


The sum of the children's ages will be x + 24, since each of the three children will be 8 years older.


Since the father's age will be twice the sum of the children's ages, you can write:


4x + 8 = 2(x + 24)


4x + 8 = 2x + 48


4x - 2x + 8 = 48


2x + 8 = 48


2x = 48 - 8


2x = 40


x = 20


The current age of the man is 4x = 4(20) = 80 years old.