Question

The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.

Answer 1

Let's the first odd integer be x...
Please note that odd numbers differs by 2...1,3,5,7,9etc....

If the first odd integer Is x
The next(consecutive one) = x+2
The third = (x+2)+2 = x+4
The fourth one = (x+4)+2 = x+6..

The sum of all this equals to - 72 that is......
x+x+2+x+4+x+6 =-72

4x+12 = - 72

4x=-72-12

4x=-84
x=-84/4

x= -21...
x+2 = - 21+2 = -19
x+4 = -21+4 = -17
x+6 = -21+6 = -15

Those number have been highlighted above..

Hope this helped....

Answer 2

Answer: n + n+2 + n+4 + n +6 = 4n + 12 = -72 4n = -84 n = -21 -21,-19,-17 and -15