Answer:
361. 362,363
Explanation:
Here we will use algebra to find three consecutive integers whose sum is 1086.
We assign X to the first integer. Since they are consecutive, it means that the 2nd number will be X+1 and the third number will be X+2 and they should all add up to 1086. Therefore, you can write the equation as follows:
X + X + 1 + X + 2 = 1086
To solve for X, you first add the integers together and the X variables together. Then you subtract 3 from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 1086
3X + 3 = 1086
3X + 3 - 3 = 1086 - 3
3X = 1083
3X/3 = 1083/3
X = 361
Which means that the first number is 361, the second number is 361+1 and third number is 361+2. Therefore, three consecutive integers that add up to 1086 are:
361
362
363