Virginia Faye Cone, 65, a sales agent with the Reuter's real estate firm in Washington, died Sunday at the Potomac Valley Nursing Home in Rockville, where she had lived about two weeks. She suffered from a brain tumor.

Mrs. Cone came to Washington in 1948 when her husband, J. Caroll Cone, vice president of Pan American Airways, was transferred here. He died in 1976.

She had been one of the first women to be hired by American Airlines as a sales representative in its New York office in the 1930s, and had traveled throughout the country speaking to groups to promote air travel.

In 1939, when American Airlines opened its first Admiral's Club at La Guardia Airport. Mrs. Cone was placed in charge of the facility. Later, she was manager of the Wings Club at the Biltmore Hotel in New York City.

She was born in Birmingham, Ala. She was a graduate of Birmingham Southern College and also studied at the University of Alabama. After coming to Washington, Mrs. Cone was active in the Crittenton Circle of the Florence Crittenton Home. She was a member of the Georgetown Ecumenical Group, the Spanish-Portuguess Study group and Congressional Country club.

She is survived by two sons, William Randall, of the home in Washington, and John C. Jr., of Clarksburg, Md.: a daughter, Virginia Carroll DeMeo, of San Francisco: a sister, Madeline Cuniff, of New York City, and two grandchildren.