Its always good to do both and not depend only on single one, start with the saving money and in future you can find the possible investments which are less risky as saving will keep your money safe and if you want to grow your money in long run then you have to take a risk of investing.
This what I always stand for, it's better to do both of it because knowing these two things are going to give you a bright future. Saving for everything that you can encounter for the future and as well as investing. Because the question itself will answer it, why we are going to save? For future and why we are investing, for future.