So I took the MCAT back in July of 2013. It seems like many schools accept scores no older than 3 years old. I am planning on applying for medical schools next cycle (For the class of 2020), these scores will still be good for next cycle, correct?
Correct, your score will still be valid. Double-check with this chart to be sure that the schools you are interested in will still accept the pre-2015 "old" MCAT.