Truth is knowledge of things as they really are, as they really were and as they really will be. Assuming you mean the Blue Ridge Mountains, they run through Pennsylvania, West Virginia, Virginia, Tennessee, North Carolina, South Carolina, and Georgia.
http://www.answers.com/Q/What_states_do_the_blue_mountains_run_through
Reviewed November 4, 2016. Hiking to Hurricane Mountain Fire Tower in October. One of the most beautiful trips with great weather and colorful scenery all around. A four or five hour climb with views that get better with altitude, the cherry on top is the tower which you can elect to climb or not. All around views from the top are excellent.
https://www.tripadvisor.com/Attraction_Review-g28953-d543501-Reviews-Adirondack_Mountains-New_York.html
History of the Adirondacks. The 6-million-acre park, that comprises the Adirondack Mountains, was established by the New York State Legislature in 1892. It has evolved into a patchwork of public and private lands, where thousands of people live, work and play in a protected environment of mountains, forests and streams.
http://www.adirondack.net/
Great Smoky Mountains National Park is one of the most visited parks in the United States. The park is split between eastern Tennessee and western North Carolina. Its area of over 800 square miles (2,100 square kilometers) contains the core of the Great Smoky Mountains.
https://www.britannica.com/place/Great-Smoky-Mountains
They are Alabama, Connecticut, Georgia, Kentucky, Maine, Maryland, Massachusetts, New Hampshire, New… Jersey, New York, North Carolina, Ohio, Pennsylvania, South Carolina, Tennessee, Vermont, Virginia, West Virginia, New Brunswick, New Foundland, Nova Scotia, Quebec, Saint Pierre and Miquelon.
http://www.answers.com/Q/What_states_do_the_blue_mountains_run_through
Discover the Adirondacks! Hotels, Resorts, Real Estate, Events, Activities, Camping, Hiking, Rafting & More! A Guide to the Adirondack Mountains For Vacationers, Residents and Anyone Who Calls the Adirondacks Home.
http://www.adirondack.net/
For the state park that covers the same area, see Adirondack Park. The Adirondack Mountains /ædᵻˈrɒndæk/ form a massif in the northeast of Upstate New York in the United States. Its boundaries correspond to the boundaries of Adirondack Park. The mountains form a roughly circular dome, about 160 miles (260 km) in diameter and about 1 mile (1,600 m) high.
https://en.wikipedia.org/wiki/Adirondacks
The Adirondack Mountains are a sight to be seen weather it is summer, fall, or winter. The peaks of the mountains offer great views after an invigorating hike. With 46 peaks to choose from you can meander a simple path or challenge yourself to a difficult and longer trail.
https://www.tripadvisor.com/Attraction_Review-g28953-d543501-Reviews-Adirondack_Mountains-New_York.html
What is the Adirondack Park? The Adirondack Park is the largest park in the contiguous United States. It contains six million acres, covers one-fifth of New York State and is equal in size to neighboring Vermont. The Adirondack Park is nearly three times the size of Yellowstone National Park.
http://www.adirondackcouncil.org/page/the-adirondack-park-19.html
Brews & Bouquets for the Over 21 Crowd. Explore the Adirondacks' two wine regions to sip some of the best kept secrets in the Northeast. The Adirondack Coast Wine Trail encompasses six wineries and cideries spanning 33 miles along Lake Champlain, while the St. Lawrence Wine Trail travels 80 miles and three wineries. Savor hand crafted ale at one of the many microbreweries located across the Adirondacks, including new tasting and tap rooms.
http://visitadirondacks.com/
what states do the adirondack mountains go through
The Adirondack mountains go through New York State.  the Adirondack mountains go through New York.