Yes, you can do it, but you would need to take some special care to be successful. I managed to keep frogs in my 75 gallon community, but I definitely wouldn't consider it the ideal setup. Main concerns...
1) Height: 24" is ok (not ideal) for a full grown frog to get to the top, but a juvenile would spend almost all it's energy trying to get to the top. Frogs aren't the brightest and don't always realize that they can climb things to the top. This can be mitigated somewhat by having a bubbler underneath an overhang to create a "bubble pocket" lower in the tank. Frogs can usually figure out from the bubbler sound that there's oxygen there and will actually gulp down the bubbles. Between that and having things to climb they should manage.
2) Food competition: Frogs are VERY poor at competing for food. I've seen many occasions where a frog is sitting with a pile of brine shrimp in front of him and a loach scurries right under it's face to snatch up the food before the frog can grab it. The only way to keep frogs from starving in a busy community is to spot feed them with frozen food via tweezers or a turkey baster. You'll have to distract the rest of the tank with food first, then you can hold the food in front of their noses without having it stolen.
3) General size of tank: Frogs hide. A lot. Even well fed and happy frogs will spend a lot of their time under plants and decorations, not lounging in the open. A 60 gallon tank is a lot of space for them to disappear into. If you don't mind them hiding then this isn't as much of an issue, but if you're trying to find them to spot feed them it may be a bit of a headache. My frogs were always good at being front and center or at least coming out of hiding come feeding time if they were hungry, but if you have a more shy frog this might cause issues.
If you like frogs and don't have any other tanks that you can put them in, the 60 gallon tank will work so long as you mitigate the above issues. That said, I've definitely been enjoying my frogs more since I moved them to a 20 gallon long community... They spend less energy getting to the top, which leaves more energy for wandering around the tank and getting into goofy zen poses. I see them out in the open far more, plus they're easier to find when they do go into hiding.
Hope this helps
