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Q: Find four consecutive integers whose sum is 290?

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The answer to that question is 6,7,8,9.

19, 20,21,22

The integers are 26, 27, 28 and 29.

The numbers are 82, 84, 86 and 88.

The integers are 81, 83, 85 and 87.

There is a set of four consecutive even integers whose sum is four. The set is: -2, 0, 2 and 4.

They are odd consecutive integers: 21, 23, 25 and 27.

6,7,8,9

15,16,17,18

The numbers are 27, 28, 29 and 30.

101, 103, 105, 107

11, 13, 15, and 17

58, 60, 62, 64

There are four consecutive odd integers: 81, 83, 85 and 87.

1,2,3,4

No.

The integers are 21, 22, 23 and 24.

The integers are 6, 7, 8 and 9.

27 + 28 + 29 + 30 = 114

The integers are -2, 0, 2 and 4.

The integers are 17, 19, 21 and 23.

-4, -2, 0, and 2 are the four consecutive even integers. When you add them up they equal -4.

There are none. The only four consecutive integers totaling 90 are 21, 22, 23 and 24.

The average of the four numbers will be equal to 116/4 = 29 Since you are looking for an even number of integers, you cannot have them averaging an odd number.

-8-9-10-11 = -38