Question

Find three consecutive odd integers whose sum is -213.

Answer 1

-73,-71,-69

Explanation:

Let x represent an odd interger

Odd intergers are serpated by the value of 2 so let the three consective intergers be represented by

`(x )+ (x + 2) +( x + 4)`

Set that equation equal to 213.

`x + x + 2 + x + 4 = - 213`

`3x + 6 = - 213`

`3x = - 219`

`x = - 73`

Plug -73 in the consective intergers expression.

`- 73 + ( - 73 + 2) + ( - 73 + 4)`

So our three intergers are

`- 73`

`- 71`

`- 69`

Answer 2

-73, -71, -69

Explanation:

Suppose the middle of the 3 integers is x.

(x-2)+(x)+(x+2)=-213

x-2+x+x+2=-213

3x=-213

x=-71

The integers are -69, -71, and -73