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APMOPS 2012 Question 18

APMOPS · APMOPS 2012

Question 18

Four classes $A,B,C,D$ each have fewer than 50 students and their average class size is 46. The sizes of $A,B$ differ by 4; those of $B,C$ differ by 3; those of $C,D$ differ by 2. If $A$ has the most students, find its size.