Explanation
Let's denote the age of the youngest child as x. Since the ages of the children are in intervals of 3 years, the ages of the five children can be represented as x, x+3, x+6, x+9, and x+12.
According to the given information, the sum of their ages is 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.
