Explanation

Let's assume the age of the youngest child is x. The ages of the other children can be represented as follows:

Second child: x + 2

Third child: x + 4

Fourth child: x + 6

Fifth child: x + 8

Sixth child: x + 10

To find the sum of their ages, we add up these values:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10)

Simplifying the expression:

6x + 30 = 60

Now, we can solve for x:

6x = 30

Dividing both sides of the equation by 6:

x = 5

Therefore, the age of the youngest child is 5 years old.