Divide 117 by three to get the middle name number, then you subtract one and add one to 1 of the three 39's to get your numbers as 38, 39, 40. And the largest number. Is 40. Hope this helped.
consecutive means right after each other difference of 1 numbers are x,x+1,x+2 their sum is 117 x+x+1+x+2=117 add 3x+3=117 subtract 3 form both sides 3x=114 divide both sides by 114 x=38 largest number is x+2 38=x x+2=38+2=40