To find the three consecutive odd integers that sum up to 255, we can start by defining the integers. Let the first odd integer be represented as x. Then, the next two consecutive odd integers can be expressed as x + 2 and x + 4.
Now, we have:
x + (x + 2) + (x + 4) = 255
Simplifying the left side gives us:
3x + 6 = 255
Next, we isolate 3x by subtracting 6 from both sides:
3x = 255 – 6
3x = 249
Now, divide both sides by 3:
x = 249 / 3
x = 83
Now that we have the value of x, we can find the three consecutive odd integers:
- First integer: 83
- Second integer: 83 + 2 = 85
- Third integer: 83 + 4 = 87
Thus, the three consecutive odd integers are 83, 85, and 87.