Question

Find three consecutive odd integers whose sum is -267

Answer 1

Three consecutive odd numbers add up to -267

If "x" represents the first odd number, then

"x+2" represents the second number

"x+4" represents the third number

`x+(x+2)+(x+4)=-267`

From this expression, you can calculate the value of x

`\begin{gathered} x+x+x+2+4=-267 \\ 3x+6=-267 \end{gathered}`

Pass 6 to the right side of the equation by subtracting it from both sides of the expression

`\begin{gathered} 3x+6-6=-267-6 \\ 3x=-273 \end{gathered}`

Finally divide both sides of the expression by 3 to determine the value of x

`\begin{gathered} (3x)/(3)=-(273)/(3) \\ x=-91 \end{gathered}`

Now that we know the first odd number you can calculate the other two as follows:

`\begin{gathered} x=-91 \\ x+2=-91+2=-89 \\ x+4=-91+4=-87 \end{gathered}`

The three odd numbers that add up to -267 are -91, -89, and -87