To find three consecutive integers that add up to 36, we can define the integers in terms of a variable. Let’s call the first integer x. The next two consecutive integers would then be x + 1 and x + 2.
So, we can set up the equation based on their sum:
x + (x + 1) + (x + 2) = 36
Simplifying this, we combine like terms:
3x + 3 = 36
Now, we can solve for x to find the three consecutive integers. To do this, we first subtract 3 from both sides:
3x = 36 – 3
3x = 33
Next, we divide both sides by 3:
x = 11
Now we can find the three consecutive integers:
- First integer: 11
- Second integer: 12
- Third integer: 13
Thus, the equation x + (x + 1) + (x + 2) = 36 successfully helps us find the three consecutive integers 11, 12, and 13.