Question

8. Find four consecutive odd integers whose sum is -168.

Answer 1

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