The whole task can be divided into 2 logical segments:
the description of Earl's age 11 years ago and the alternative description of the same by adding some details. Let's x be the current age, then his age 11 years ago would be x - 11. This is the first segment. Let's move on to the second one, namely which specifies his age 11 years ago: it says that it was one fifth of the one after 5 years from now, so we can write that as 1/5(x + 5). By making them equal we get the equation x - 11 = 1/5(x + 5), from which x = 15 years.