Answer:
18 years old
Solution:
Let x represent the age of the youngest child.
So the age of the oldest = 3x
If the ages of the two middle children are 19 and 23, and the average age of the four children is 28.5, let's go ahead and find x;

Let's go ahead and subtract 42 from both sides;

Dividing both sides by 4, we'll have;

Therefore, the youngest is 18 years old.