In a large skillet or pot, bring enough salted water to cover your carrots and beans to a boil. I usually add about 1 teaspoon of salt to the water.
Add carrots and cook for 2 minutes.
Add beans and cook for another 2 minutes.
Drain in a colander in your sink and pat dry with a paper towel as best you can.
In a large skillet add broth and butter.
Bring to a boil and then decrease your temperature to simmer, medium to medium low. Add beans and carrots and continue simmering for 3 minutes uncovered to reduce the liquid. Stir regularly.
Add honey or brown sugar, salt and pepper and stir for a minute or so to coat. Serve immediately and enjoy!