The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 46 years, was replaced by a new person. Find the age of the new person?  Choose the correct choice from the following answers:
A) 18
B) 56
C) 16
D) 17
E) 14

Rationale: "initial average age of the 10 persons be p . age of the new person q . sum of the ages of the initial 10 persons = 10 p new average = ( p - 3 ) 10 ( p - 3 ) = 10 p - 46 + q = > q = 16 answer : c"
Answer: C