plz help with algebra

Let the first digit   be  x  and the last x + 5

Let  a  be the sum of the constants  of the  five remaining integers

And we  have that 

5x +  a  =  2016

5x  =  2106 -  a

Notice  that    2106 - a  must be divisible  by 5

So   if  a =  11   we have    x + (x + 1) + ( x + 2) + (x +3)+ (x + 5)    =    5x + 11  =  2016

Note that x + 4 was erased...so....

5x   = 2016  -11

5x  =  2005

x =  401

So

x + 4  =   401 + 4   =  405   was erased

A teacher writes 6 consecutive integers on the blackboard. He erases one of the integers and the sum of the remaining five integers is 2016. What integer was erased?

Hello Guest!

401+402+403+404+406=2016  by trying it out

  !