8.

Find four consecutive odd integers whose sum is - 168.

Answer: - 45, - 43, - 41, - 39

Step-by-step explanation:

The four consecutive odd numbers are

x, (x + 2), (x + 4) + (x + 6)

Therefore their sum

x + x + 2 + x + 4 + x + 6 = - 168

4x + 12 = - 168

4x = - 168 - 12

4x = - 180

Divide by 4 x = - ¹⁸⁰/₄

x = - 45

Now to determine the consecutive odd integers, we put the values in the above algebraic expression.

x, (x + 2), (x + 4), (x + 6) = - 45, (-45 + 2), (-45 + 4), (-45 + 6)

= - 45, - 43, - 41, - 39