Final answer:
Both the Allegheny Mountains and the Pocono Mountains are located in the state of Pennsylvania, playing an important role in its topography and natural history.
Step-by-step explanation:
The state that has both the Allegheny Mountains and the Pocono Mountains is Pennsylvania. The Allegheny Mountains are part of the Appalachian Mountain range and the Pocono Mountains are a subrange of the Appalachians located in the northeastern part of Pennsylvania.
These mountain ranges are significant for their rich geological history and biological diversity, with the Alleghenies being recognized for their role in the resource-rich Appalachian Plateau, and the Poconos known for their recreational and natural value, attracting many tourists to the region.
The geography and formation of these mountains have deep roots in the ancient geological events described by the collision and assembly of the supercontinent Pangaea.