Three consecutive integers have a sum of 297. Find the integers.

297 / 3 = 99

99-1 = 98

99 + 1 = 100

98 + 99 + 100 = 297

the numbers are 98, 99, 100

We will put X to the first integer. Since they're consecutive (meaning that the 2nd number will be X+1 and the third number will be X+2 and they should all add up to 297) Here is how you can write the equation.

X+X+1+X+2 = 297

To solve for X, you have to add the integers together and the X variables together. Then, you must subtract 3 from each side and then dividing by 3 on each side.

X + X + 1 + X + 2 = 297

3X + 3 = 297

3X + 3 - 3 = 297 - 3

3X = 294

3X/3 = 294/3

X = 98

Which means that the first number is 98, the second number is 98+1 and third number is 98+2. Which give us three consecutive integers that add up to 297.

98+99+100 = 297