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Part of 2017 NZMOC Camp Selection Problems

Problems(1)

a < b < c < d < e with sums of pairs 32, 36 ,37 , 48 ,$51

Source: New Zealand NZMOC Camp Selection Problems 2017 p1

9/19/2021
Alice has five real numbers a<b<c<d<ea < b < c < d < e. She takes the sum of each pair of numbers and writes down the ten sums. The three smallest sums are 3232, 3636 and 3737, while the two largest sums are 4848 and 5151. Determine ee.
algebra