The average (arithmetic mean) of \(a\), \(2a\), \(b\), and \((b + 1)\) is equal to the median of the four numbers, where \(a < 2a < b < (b + 1)\). What is the value of \(a\)?
(A)\(\frac { b + 1 } { 2 } \) (B)\(2b - 3\) (C)\(6\) (D)\(4\) (E)\(1\)
E