The Realty World real estate franchising company, which has 1,975 affiliated brokers across the country, has moved from Vienna to new offices at 7700 Little River Turnpike, Annandale. William Janeski, president, said that the four-year-old system added 167 broker affiliate offices in May.

Architect Edward R. Spano recently marked his 50th anniversary with W.C. and A.N. Miller Development co., where he is vice president and secretary. Spano joined the Miller firm as a draftsman in 1929 and was superintendent of the construction department before he became head of the architectural department. He has designed Miller houses for Spring Valley, Sumner, Spring Hill, Potomac Falls, Overlook and Spring Meadow.

Long-term mortgage delinquencies - those past due 90 days or more - on single-family houses are at their lowest level since the spring of 1975, according to a survey by the Mortgage Bankers Association of America. Thomas Harter, MBA economist, said the delinquencies on relatively new FHA graduated-payment mortgage loans also has been low. These loans stipulate rising mortgage payments during the first five years of the mortgage.

The written license examinations for real estate brokers and agents in the District will be given at 8:30 a.m. Wednesday.

United Way of America has acquired 3.8 acres at North Lee and Fairfax Sts. in Alexandria for $2 million from Taxaco Inc.

The newly organized Women in Housing and Finance has elected jeanne Cronin president. She is government and consumer affairs specialist for the U.S. League of Savings Associations. The WHF includes persons from private industry, trade groups, the press, federal agencies and legislative staffs.

C.J. Cross & Associates has arranged a $3.1 million loan for the 11-story Montgomery building in Bethesda, which recently was purchased and renovated by a group headed by Ward Dworshak, Ralph Lugbill and Peter Greenberg.

Richard W. Brown, a Montgomery Country realtor, has been elected president of the Maryland chapter of Certified Residential Specialists.

The Automotive Parts & Accessories Association, now at 1025 Connecticut Ave. N.W. plans to relocate within two years to one of three possible sites in Prince George's County, where the APAA plans to build a small office building.

The Carey Winston Co. has arranged for the Federal Reserve Board to lease 8,000 square feet of office space in the Columbia Plaza building at 23d Street and Virginia Avenue NW.

Fletcher R. Hall has been named assistant executive vice president of the Maryland Association of Realtors.

The Montgomery and Prince George's boards of realtors reminded all Maryland license holders that state law requires 12 hours of continuing education instruction prior to license renewal on April 30, 1980. Information on available courses is available from both boards.

Lands Associates Ltd. is developing 18 two-acre lots around a man-made lake in the Great Falls area of Fairfax County. Construction of $300,000-range houses has begun there.