Explanation:
Let's represent the four consecutive odd integers as x, x+2, x+4, and x+6. Now, we can set up an equation based on the given information:
x + (x+2) + (x+4) + (x+6) = 80
Combine like terms:
4x + 12 = 80
Subtract 12 from both sides:
4x = 68
Now, divide by 4:
x = 17
So, the four consecutive odd integers are 17, 19, 21, and 23, with a sum of 80.