The following is a selected video from your teacher comm. You can browse over 450 complete math lessons with example videos, interactive practice problems, self-tests, and more. Try a complete lesson today at your teacher calm. This problem states that the sum of three consecutive integers is 24. It asks us to find the integers. Remember from the previous example that three consecutive integers can be represented by X, X plus 1, and X plus 2. Let's call X our first integer, X plus 1 our second, and X plus 2 our third. Since the sum of our three consecutive integers is 24, our equation will read X plus X plus 1 plus X plus 2 equals 24. Simplifying on the left, we get 3 X plus 3 equals 24. Subtract 3 from both sides and 3X equals 21. Divide both sides by 3, and X equals 7. So our first integer, X, equals 7. Our second integer, X plus 1, would then equal 8. And our third integer, X plus 2, would be 9. Therefore, our answers are 7, 8, and 9.
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