Question

Find the three consecutive even numbers that will add up to 984​

Answer 1

327, 328, 329

Step-by-step explanation:

Three Consecutive Integers

Here we will use algebra to find three consecutive integers whose sum is 984. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 984. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 984

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 984

3X + 3 = 984

3X + 3 - 3 = 984 - 3

3X = 981

3X/3 = 981/3

X = 327

Which means that the first number is 327, the second number is 327 + 1 and the third number is 327 + 2. Therefore, three consecutive integers that add up to 984 are 327, 328, and 329.

327 + 328 + 329 = 984

We know our answer is correct because 327 + 328 + 329 equals 984 as displayed above.