What are three consecutive odd integers whose sum is -75?

**x = first consecutive odd integer**

x + 2 = second consecutive odd integer

x + 4 = third consecutive odd integer{odd integers are increasing by 2}

x + 2 = second consecutive odd integer

x + 4 = third consecutive odd integer

x + x + 2 + x + 4 = -75 {sum of the three consecutive odd integers is -75}

3x + 6 = -75 {combined like terms}

3x = -81 {subtracted 6 from each side}

x = -27 {divided each side by 3}

x + 2 = -25 {substituted -27, in for x, into x + 2}

x + 4 = -23 {substituted -27, in for x, into x + 4}

**-27, -25, and -23 are the three consecutive odd integers**

**Ask the House**