Question 616582
The sum of two consecutive numbers is 77. 
x+x+1=77
2x=76
x=38 and 39
You don't need the rest of the problem but here it is.
The difference of half of the smaller number and one-third of the larger number is 6.
x/2-(x+1)/3=6
multiply by 6
3x-(2(x+1))=36
3x-2x-2=36
x-2=36
x=38 
x+1=39