You can set up an equation like this:
[tex](x+1)+(x+2)+(x+3)=72[/tex]
To solve, combine like terms together to get:
[tex]3x+3=72[/tex]
Then, subtract 3 from both sides.
[tex]3x=69[/tex]
Divide both sides by 3.
[tex]x=23[/tex]
23 is the first integer in the sequence. Come back to the first equation again, and plug in the numbers. 23+1 is 24, and 23+2 is 25.
In conclusion, your three integers should be 23, 24, and 25. To check your work, you can add them together to find that it equals 72.
