What Four consecutive odd integers whose sum is -220?

Answer 1

Let x be the smallest of the consecutive odd integers. Since consecutive odd integers differ by 2, we have

x + (x + 2) + (x + 4) + (x + 6) = -220
4x + 12 = -220 (subtract 12 to both sides)
4x = -232 (divide by 4 to both sides)
x = -58

Thus, the four consecutive odd integers whose sum is -220 are -58, -56, -54, and -52.