It looks like your LHT might have 26" wheels (avatar)? If it does, the 24 tooth chainring and an 11/34 will be the same as a 22 chainring on a 700c wheeled bike, about 17.4 gear inches.

That is what I'm running on my bike and is a good combination: 700c wheels, 44/32/22 with an 11/34 cassette. I not much help with 10 speed systems, because all my experience is with 9 speed parts' compatibility. However, chainrings and cassettes are pretty much the same.