Are you asking. If you can and should lift weights after 60? If so, both yes and yes. Resistance training can help stave off bone density loss and muscle mass loss. Remember, the types of exercises and intensity with which you do them will be greatly different from someone in their 20's, as you'll like have different goals. You best bet is to get the "ball rolling" with a certified personal trainer.
Older exercise. The only harm in lifting weights is when you try to lift beyond your physical capabilities. If you have maintained your physical health then you have some awareness of your limitations. If you are just starting to workout, you need to go slow to find your limits, but no exercise is off limits if you start slow.