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
[tex]x+(x+2)+(x+4)=-267[/tex]From this expression, you can calculate the value of x
[tex]\begin{gathered} x+x+x+2+4=-267 \\ 3x+6=-267 \end{gathered}[/tex]Pass 6 to the right side of the equation by subtracting it from both sides of the expression
[tex]\begin{gathered} 3x+6-6=-267-6 \\ 3x=-273 \end{gathered}[/tex]Finally divide both sides of the expression by 3 to determine the value of x
[tex]\begin{gathered} \frac{3x}{3}=-\frac{273}{3} \\ x=-91 \end{gathered}[/tex]Now that we know the first odd number you can calculate the other two as follows:
[tex]\begin{gathered} x=-91 \\ x+2=-91+2=-89 \\ x+4=-91+4=-87 \end{gathered}[/tex]The three odd numbers that add up to -267 are -91, -89, and -87
