Arthur, Bert and Charles took three exams. In all exams, the first got X points, the second Y points, and the third Z points, X, Y and Z being positive integers such that X>Y>Z.
Summing the three results, Albert got 20 points; Bert, 10; and Charles, 9. Albert was 2nd in Algebra. Who was 2nd in Geometry?
(8,4,1) and then
Albert managed two 1sts and a 2nd (in Algebra),
Bert had a 1st and two 3rds, and,
Charles got two 2nds (thus, Geometry) and a 3rd.