To solve this problem, let's assume the age of the youngest child as "x" years.
According to the given information, the ages of the 5 children are x, x+3, x+6, x+9, and x+12 years.
The sum of their ages is given as 50 years:
x + (x+3) + (x+6) + (x+9) + (x+12) = 50
Simplifying the equation:
5x + 30 = 50
Subtracting 30 from both sides:
5x = 20
Dividing both sides by 5:
x = 4
Therefore, the age of the youngest child is 4 years.
The correct answer is A) 4 years.