Find three consecutive integer who’s sum is 552

Here we will use algebra to find three consecutive integers whose sum is 552.

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 552. Therefore, you can write the equation as follows:

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:

Which means that the first number is 183, the second number is 183+1 and third number is 183+2. Therefore, three consecutive integers that add up to 552 are:

183

184

185

Since, 183 + 184 + 185 = 552, it confirms that the answer above is correct.

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