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Questions and solutions for consecutive numbers.

by Jeff

From

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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