Question 184
Teacher wrote on the board 5 distinct numbers. After that Petrik counted the sums of each two of these numbers and wrote them on the left half of the board, Vasyl did the same for the sums of each three of these numbers and wrote them on the right half of the board. Could the teacher write such numbers so that the sets of numbers written on the left and right halves of the board are the same (counting multiplicity)?