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Questions and solutions for consecutive numbers.

by Jeff

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Try these consecutive number problems on your own. Even if you can figure some of them out without the methods above, try them using consecutive variables for practice:

1. 4 consecutive even numbers have a sum of 92. What are the numbers?

2. Five consecutive numbers have a sum of zero. What are the numbers?

3. Two consecutive odd numbers have a product of 35. What are the numbers?

4. Three consecutive multiples of five have a sum of 75. What are the numbers?

5. The product of two consecutive numbers is 12. What are the numbers?

6. The sum of 4 consecutive integers is 46. What are the numbers?

7. The sum of 5 consecutive even integers is 50. What are the numbers?

8. If you subtract from the product of 2 consecutive numbers, the sum of the same two numbers, the answer is 5. What are the numbers?

9. Do there exist 2 consecutive odd numbers with product 52?

10. Do there exist 7 consecutive integers with sum of 130?

Solutions

1. 20, 22, 24, 26

2. -2, -1, 0, 1, 2

3. 5, 7

4. 20, 25, 30

5. 3, 4

6. 10, 11, 12, 13

7. 6, 8, 10, 12, 14

8. -2 and -1 OR 3 and 4

9. No. Setting up equations and solving leads to a non integer solution for x.

10. No. Setting up equations and solving leads to a non integer solution for x.

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