The UAP had been formed as a new conservative alliance in 1931, with Labor defector Joseph Lyons as its leader. The stance of Lyons and other Labor rebels against the more radical proposals of the Labor movement to deal the Great Depression had attracted the support of prominent Australian conservatives. With Australia still suffering the effects of the Great Depression, the newly formed party won a landslide victory at the 1931 Election, and the Lyons Government went on to win three consecutive elections. It largely avoided Keynesian pump-priming and pursued a more conservative fiscal policy of debt reduction and balanced budgets as a means of stewarding Australia out of the Depression. Lyons' death in 1939 saw Robert Menzies assume the Prime Ministership on the eve of war. Menzies served as Prime Minister from 1939 to 1941 but resigned as leader of the minority World War II government amidst an unworkable parliamentary majority. The UAP, led by Billy Hughes, disintegrated after suffering a heavy defeat in the 1943 election.

Answer this question, if possible (if impossible, reply "unanswerable"): What years did Billy Hughes serve as Prime Minister?
unanswerable