How To Solve Consecutive Integer Problems

How To Solve Consecutive Integer Problems-12
So let's let x be equal to the smallest of the four. So we have one x, two x's, three x's, four x's. And then we have 2 plus 4, which is 6, plus another 6 is 12. So to solve for x, a good starting point would be to just to isolate the x terms on one side of the equation or try to get rid of this 12. And if you don't feel like doing that in your head, you could also, of course, do traditional long division.

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Thus, the three consecutive integers are 79, 80 and 81. Solution 2 This time let be the first (the smallest) of these three consecutive integers. Since the sum of these three consecutive integers is equal to 240, you can write the equation . You will get (after combining like terms at the left side), (after moving the constant term 3 to the right side with the opposite sign and combining like terms at the right side), (after dividing both sides by 3). One third of the sum of five consecutive integers is 15. Let be the third (the middle) of these five consecutive integers. Solution This time there is no the unique middle term of four consecutive odd integers. You're essentially skipping the next number, which is going to be even. And on the right-hand side, we are left with 136 minus 12 is 124. So before even attempting to tackle it, let's think about what it means to be a consecutive odd integer, what four consecutive odd integers could be referring to. The next odd integer-- so we want consecutive odd integers. Then the one after that would be 7, and the one after that would be 9. If that is x, then how would we express this in terms of x? The next odd integer is going to be the previous odd integer plus 2. And let's take the sum of them and set that equal to 136 and then solve for x. So this is the sum of the four consecutive odd integers, and they tell us that that is going to be equal to 136. So subtracting 12 from both sides gives us, well on the left-hand side, we're just left with 4x. And we get-- do that in the same, original color-- x is equal to 124 divided by 4. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.Try it risk-free An integer is simply a number like 0, 1, 2, 3, and 4, but unlike whole numbers, integers also include negative numbers like -1, -2, -3 and -4. Consecutive integers are simply integers that follow each other in a patterned order, usually just one number after the other, like 1, 2, 3 and 4! We cannot forget that consecutive integers also include negative numbers. So our four consecutive odd integers are 31, 33, 35, and 37.As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Let be the second (the middle) of these three consecutive integers. Since the sum of these three consecutive integers is equal to 240, you can write the equation . You will get (after combining like terms at the left side), (after dividing both sides by 3). Since one third of the sum of five consecutive integers is 15, the entire sum of five consecutive integers is 45.Since the sum of these five consecutive integers is equal to 45, you can write the equation . You will get (after combining like terms at the left side), (after dividing both sides by 5). Solution Let be the second (the middle) of these three consecutive even integers. Since the sum of these three consecutive even integers , and is equal to 18, you can write the equation . You will get (after combining like terms at the left side), (after dividing both sides by 3). The three consecutive even integers are 4, 6 and 8. Thus, the three consecutive odd integers are 9-2=7, 9, and 9 2=11. Then the second number is , the third one is and the fourth one is .So, Ted has used even consecutive integers (2, 4, 6, 8, 10, 12, 14, 16, 18 and 20) to make teams for the soccer game.Example 2 (odd): Mira has 30 gift bags for her 10th birthday pool party. Her mother has lined up the bags so that they alternate between boy and girl.

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