I think that starting studying at '60s is a good idea. You must live your life as you wish. The other thing is that it will be harder. It can be hard to write the application papers professionally but it is not also a problem as you can open
https://www.essayedge.com/ and they will help with your PS, LoR, and other papers. Also, you must have good knowledge and skills, it can also become a big problem because when you are 30+ years old it is hard to learn something new. it is a time when you practice your gained knowledge and skills. But, from the other side, you may have the colossal experience.
In any case, I appreciate such decisions and wish you good luck.