Question

Help Please : Bonus - ( Step by Step ) Bonus:4 times the sum of three consecutive odd integers is -36 . Find the integers.

Answer 1

The integers are -5, -3 and -1.

Step-by-step explanation:

Let the first consecutive odd integer = x

• Then the next two consecutive odd integers = x+2 and x+4

The sum of the three integers is:

`x+(x+2)+(x+4)=3x+6`

4 times the sum of three consecutive odd integers:

`\implies4(3x+6)`

The result is -36. Thus, we have the equation:

`4(3x+6)=-36`

Solve for x:

`\begin{gathered} 3x+6=(-36)/(4) \\ 3x+6=-9 \\ 3x=-9-6 \\ 3x=-15 \\ x=-(15)/(3) \\ x=-5 \end{gathered}`

Thus, the integers are:

`\begin{gathered} x=-5 \\ x+2=-5+2=-3 \\ x+4=-5+4=-1 \end{gathered}`

The integers are -5, -3 and -1.