Respuesta :

AL2006

If they were all the same integer, then each one would be
1/3  of  1,008. 

That's 336.  So if they were all the same integer, they would be

                        336     336     336

And they would add up to 1,008.

You need them to be consecutive integers, and still add up to 1,008. 

Fine !  Just take one away from the first one, and glue it onto
the last one.

Now you have

                         335     336     337

And you haven't changed their sum.

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