Bring salted water to a boil in a medium pot. Add the potatoes and boil until nearly fork-tender (but not falling apart), about 15 minutes. Drain and allow to dry thoroughly, then cut into wedges.
Heat the olive oil with the butter over medium-high heat in a skillet. Add the potatoes, sprinkle on some salt and pepper and pan-fry until golden brown and crisp, 10 to 15 minutes.