The sum of the ages of 5 children born at the intervals of 2 years each is 50 years. what is the age of the youngest child ?  Choose the correct choice from the following choices
A) 6 B) 18 C) 10 D) 99 E) 38

Rationale: let x = the youngest child . each of the other four children will then be x + 2 , x + 4 , x + 6 , x + 8 . we know that the sum of their ages is 50 . so , x + ( x + 2 ) + ( x + 4 ) + ( x + 6 ) + ( x + 8 ) = 50 therefore the youngest child is 6 years old answer : a
Answer: A