I was 11 years old when I went to the United States on a tourist visa; we stayed there for 4 years, living in the United States illegally. Despite this, because I was a child at the time, and had no part in the decision to remain in the United States, will I have any problem obtaining a visa now that I am 24 years old? 

Decisions made on your behalf when you were a minor do not affect your ability to qualify for a visa as an adult. What is important is your ability to demonstrate to the consular officer that you plan to go to the U.S. for a temporary visit and without resorting to unlawful employment.