Final answer:
To find the three consecutive odd integers that add up to 81, set up an equation to represent their sum and solve for x. The three consecutive odd integers are 25, 27, and 29.
Step-by-step explanation:
To find the three consecutive odd integers, we can start by letting the first integer be x. The next two consecutive odd integers would be x + 2 and x + 4.
Now we can set up an equation to represent the sum of these integers: x + (x + 2) + (x + 4) = 81.
Simplifying this equation, we combine like terms: 3x + 6 = 81.
Next, let's isolate x by subtracting 6 from both sides of the equation: 3x = 75.
Finally, divide both sides of the equation by 3 to solve for x: x = 25.
Therefore, the three consecutive odd integers are 25, 27, and 29.