The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

10 years

8 years

4 years

None of these

Step 1: Let's denote the age of the youngest child as x.

The ages of the 5 children will be x, x + 3, x + 6, x + 9, and x + 12.

Step 2: Calculate the sum of their ages.

x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

Step 3: Simplify the equation.

5x + 30 = 50

Step 4: Solve for x.

5x = 20

x = 4