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Duncan Black was born on 23 May 1908 , the son of Duncan Black of Mull, Argyll & Bute, and Margaret Brown Muir of Motherwell, North Lanarkshire. He grew up in Motherwell, North Lanarkshire, where his father worked as a boilermaker. His mother, who was a dominant influence in his life, was a milliner and ran a drapery and millinery shop in Motherwell until 1931. He was educated at Dalziel High School, Motherwell and the University of Glasgow . He graduated MA with 2nd Class Honours in Mathematics and Physics in 1929 , and MA with 1st Class Honours in Economics and Politics in 1932 .

His first appointment after graduation was as assistant lecturer at the School of Economics and Commerce, Dundee from 1932-1934 . In 1934 he moved to the University College of North Wales as lecturer in economics until 1945 , when he was appointed Senior Lecturer in Economics at Queen's University, Belfast , Ireland. Whilst at University College of North Wales he completed his thesis on income taxation, and was awarded his PhD by the University of Glasgow in 1937 . His thesis was published in 1939 under the title The Incidence of Income Taxes . In 1946 he returned to the University of Glasgow as Senior Lecturer in Social Economics. He left Glasgow in 1952 to become Professor of Economics at the University College of North Wales, where he stayed until his retirement in 1968 .

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