Answer:
The answer is: 29 and 31.
1. Let's call the smaller odd number: .
2. Let's call the larger odd number:
3. Based on the information given in the problem, the sum of the larger number () and twice the smaller number () is 27 less than four times the smaller number ().
4. Then, you can write the following expression and solve for to find the smaller number:
5. Therefore, the larger number is: