Piyal and his $5$ brothers are $3, 5, 7, 9, 11, 13$ years old. One day two of them went to see a movie. The sum of their age is $16$. Another two went shopping with their mother. Both of them are less than $10$ years old. If Piyal and his $5$ year old brother are at home playing video games, then how old is Piyal?