The two consecutive odd integers can be written as:

2x-1, 2x+1, where x is integer

the product of two consecutive odd integers is 29 less than 8 times their sum

(2x-1)(2x+1) = 8((2x-1) + (2x+1)) - 29

by solving we find

x1 = 1

x2 = 7

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2*1 - 1 = 1

2*1 + 1 = 3

For x1 = 1 the numbers are 1 and 3.

2*7 - 1 = 13

2*7 + 1 = 15

For x1 = 7 the numbers are 13 and 15

There are two solutions for the problem, the frist solution is: numbers are 1 and 3; the second solution is the numbers are 13 and 15.