The sum of ages of 10 children born at the intervals of 1 years each is 105years. What is the age of the youngest child?  Answers:
A) 4
B) 5
C) 2
D) 7
E) 6
Let the ages of children be x, (x + 1), (x + 2, (x + 3), (x + 4), (x + 5), (x + 6),(x + 7), (x + 8), and (x + 9) years.   Then, x + (x + 1) + (x + 2) + (x + 3) + (x + 4)+ (x + 5) + (x + 6)+ (x + 7) + (x + 8)+(x+9) = 105   10x = 60   x = 6   Age of the youngest child = x = 6 years.   Answer:6
<result>E</result>
The sum of ages of 10 children born at the intervals of 1 years each is 105years. What is the age of the youngest child?