Question

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

Answer 1

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

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. $-21, -19, -17, -15$

Answer 2

Answer:

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