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Problem 14 (1991 AJHSME)

AJHSMENormal

From module Arithmetic and Number Theory Basics

Problem

Several students are competing in a series of three races. A student earns 55 points for winning a race, 33 points for finishing second and 11 point for finishing third. There are no ties. What is the smallest number of points that a student must earn in the three races to be guaranteed of earning more points than any other student?

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