arithmetic - a family having four children the sum of ages of four children born at the intervals of two years each is 35 years what is the age of the youngest child - skillgun

Let the ages of children be x,(x + 2),(x + 4),(x + 6)and(x + 8)years.
Then, x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 35
=> 5x = 15
=> x = 3.
Age of the youngest child = x = 3 years