Let x represent the first integer, then we can set the following equation:
[tex]x+x+1+x+2=204.[/tex]
Adding like terms, we get:
[tex]3x+3=204.[/tex]
Solving the above equation for x, we get:
[tex]\begin{gathered} 3x=204-3, \\ 3x=201, \\ x=\frac{201}{3}, \\ x=67. \end{gathered}[/tex]
Therefore, the integers are:
[tex]67,68,\text{ and }69.[/tex]
Answer:
[tex][/tex]
