Question

The sum of four consecutive odd integers is -72. What is the value of the four intergers

Answer 1

let the integers be x, x+2, x+4 and x+6

therefore,

x + x+2 + x+4 + x+6 = -72

=> 4x + 12 = -72

=> 4x = -72 - 12

=> x = -84/4

=> x = -21

therefore the integers are: -21, -19, -17, -15

Answer 2

`\huge\boxed{\text{-21, -19, -17, -15}}`

Represent this mathematically.
`x+(x+2)+(x+4)+(x+6)=-72`

Combine like terms.
`4x+12=-72`

Subtract 12 from both sides.
`4x=-84`

Divide both sides by 4.
`x=-21`

Find the numbers by adding 2 each time.
`-21, -19, -17, -15`