Respuesta :

Hey there! Hello!

So, to set this problem up, all you need to do is imagine that the smallest number of these consecutive integers is x. The next two numbers will be x+1, then x+2, and that, altogether, will equal 87. In a problem, this will look like this:

[tex]x+x+1+x+2=87[/tex]

All we need to do is solve for x! We can simplify the problem by combining like terms:

[tex]x+x+x+1+2=3x+3=87[/tex]
[tex]3x+3-3=87-3[/tex]
[tex]3x/3=84/3[/tex]
[tex]x=28[/tex]

Now that we know what x is, we can plug it into our original problem:

[tex]x+x+1+x+2 = 28+29+30=87[/tex]

Hope this helped you out! Feel free to ask me any additional questions if you need further clarification. :-)
ACCESS MORE