i need help on this

The seven consecutive integers can be written as:

$x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)$= $7x+21$= $77$

$7x+21=77$

$7x=56$

$x=8$

Since x is the smallest integer and (x+6) is the largest answer, 8+6 = 14 which is the largest number.