MathDB

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

Source: New Zealand NZMOC Camp Selection Problems 2017 p1

September 19, 2021

algebra

Problem Statement

Alice has five real numbers

a < b < c < d < e

. She takes the sum of each pair of numbers and writes down the ten sums. The three smallest sums are

32

36

and

37

, while the two largest sums are

48

and

51

. Determine

e