Our situation is similar to yours in many ways. My wife and I are both past 60 and we just recently got serious about getting training and experience so we would be confident enough to charter a sailboat together. My wife likes sailing because it is quiet and relaxing (most of the time) and loves to sun on the deck or read a good book in a quite cove. (she is also a great navigator and just learned to use the GPS this summer)
I enjoy the challenge of getting from point A to point B without a noisey engine by just using Mother Nature, and the thrill of trying to go faster than another boat when I know he has a better (or longer) boat. Being both an engineer and a computer guy, I like all the technical aspects of sailing (and of course being in quite anchorage for the evening).
My wife and I took the Basic Keelboat course in Charleston, SC (actually we took it twice but that is a long story) and I took the Intro to Cruising Course about 3 years ago and then we chartered an Oday 28 on Lake Champlain for a week which was a really big deal since we had never anchored a boat or spent the night on a boat away from the dock. We just completed our 3rd year on Lake Champlain again this year in a 32 foot Beneteau 311. My wife is hooked now. We already have the boat reserved for next summer and think we will try the BVI in the Spring.
By the way, Lake Champlain is a great place to learn. Lots of water, moderate winds in the summer, cool in the evening (usually), lots of places to go and anchor (or dock at a Marina) and best of all, no tides or current like we had in Charleston.
Sailing after 60 is GREAT. (and I'm still working for a living)