Hello from MrBillDoesMath!
Answer:
38,39
Discussion:
Call the first integer "n". Then
n + ( n+1) = 77 =>
2n + 1 = 77 => subtract 1 from both sides
2n = 77 - 1 = 76 => divide both sides by 2
n = 76/2 = 38
The first integer is n = 38 and the next consecutive one (= n+1) is 38 + 1 = 39. Finally, 38 + 39 = 77
Thank you,
MrB