AMC 10A 2013 Problem 6

Joey and his five brothers are ages 3,5,7,9,11, and 13 . One afternoon two of his brothers whose ages sum to 16 went to the movies, two brothers younger than 10 went to play baseball, and Joey and the 5-year-old stayed home. How old is Joey?

Answer Choices
A. 3
B. 7
C. 9
D. 11
E. 13