Answer:
19 and 20
Step-by-step explanation:
let 'x' = first integer (smaller of the two)
let 'x+1' = next consecutive integer
6x = 7(x+1) - 26
6x = 7x + 7 - 26
6x = 7x - 19
-x = -19
x = 19
x+1 = 20
Check:
19(6) = 7(19+1) - 26
114 = 140 - 26
114 = 114