I am 47 years old, married with 4 DC. In recent weeks (this is on Fulham Road), I’ve been approached on two separate occasions by two men who are both maybe early 30s and both have the same kind of “patter” (if you can call it that). There was also another one this morning, who I didn’t engage with at all because I suspected the same thing. They ask you “Excuse me, do you live round here?” So you stop because you think they need directions, etc. At this point, they tell you they have just moved to the area from another (nearby) part of London and they ask you again if you are local. They are British with British accents. They say something about how they want to meet people and would you like to go for coffee / lunch with them there and then 
. They are reasonably good-looking men by average standards and would not strike you as odd if you walked past them in the street. A similar thing has also happened to a friend last week.
I’m sure this is some kind of scam, but I wonder what it is they actually want? Are they just trying to get a free lunch? Are they expecting you to take them to your home and then they will rob you or worse? (They are very interested in whether you are local). What do they actually think is going to happen and why would they think an older woman would be interested in someone their age?
Has anyone else experienced this?