However, if you want to get a sense of some of the in-game puzzles, here are some that I remember offhand.
1) A brother and sister are chatting. The brother says, "Hey, if I gave you two of my years, you'd be twice as old as me!" The sister says, "If you're going to do that, why not give me one more year so I can be three times as old as you!"
How old are they?
2) A street-corner merchant is selling a camera with a case for $310. You want to buy just the case alone. He says that the camera costs $300 more than the case. You pay with a $100 bill. How much change should you get back?
3) A mouse has 12 babies at a time when it gives birth. The young mice then have their own litters two months after they are born. If you start with one mouse that was just born, how many mice will you have in ten months?
If this is the kind of stuff that makes you giddy, you should start writing to your Congressperson immediately and demand that Professor Layton come to the US. It's another home run for innovation.
Looks like a step above your ordinary drag-strange-objects-onto-strange-objects gameplay.