Two consecutive odd integers have a sum of 32. Find the integers.

Let

x = first consecutive odd

x + 2 = second consecutive odd

Based on the problem, we equate

x + (x + 2) = 32

Solving for x,

2x + 2 = 32

2x = 32 - 2

2x = 30

x = 30/2

x = 15

and x + 2 = 15 + 2 = 17

Therefore, the integers are 15 and 17.