MathDB
What are the five numbers? - [Canadian Repêchage 2011]

Source:

January 15, 2011
combinatorics proposedcombinatorics

Problem Statement

Brennan chooses a set A={a,b,c,d,e}A = \{a, b,c, d, e \} of five real numbers with a≤b≤c≤d≤e.a \leq b \leq c \leq d \leq e. Delaney determines the subsets of AA containing three numbers and adds up the numbers in these subsets. She obtains the sums 0,3;4,8;9,10,11,12,14,19.0, 3; 4, 8; 9, 10, 11, 12, 14, 19. What are the five numbers in Brennan's set?
Back to ProblemsView on AoPS