Algebra two word problem????

-21 * 5 = -105

so the integers chosen by the 5 people would have to add up to -105

now, -1 is the highest value negative integer someone can choose.

so if 4 of the people chose -1, then the last person needs to choose -101 so that it all adds up to -105

this means that -101 is the least possible value for one of the integers.

so if 4 people choose -1 and the last person chooses -101, the average will be -21

the answer is 5, someone picks 5,20,21,22, and 37, then the average is 21

37+5=42 42/2= 21