Answer:
11 and 13
Step-by-step explanation:
the first (smaller) odd integer can be called x
the second (larger) odd integer can be called x+2
2(x+2)+x = 37
[simplify . . .]
2x+4+x = 37
3x+4 = 37
[subtract 4 from each side]
3x = 33
[divide each side by 3; find smaller odd integer]
x = 11
[add 2 to find larger odd integer]
x+2 = 13