Q: Is it possible for four consecutive integers whose sum is an odd integer?

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No possible solution.The sum of any two odd integers is an even integer.

17 (odd integer) + 19 (odd integer) = 36 17 and 19 are consecutive odd integers.

The integers are -11 and -10.

That can never happen, and there's no solution.

There is no set of three consecutive odd or even integers whose sum is negative 31.

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No possible solution.The sum of any two odd integers is an even integer.

17 (odd integer) + 19 (odd integer) = 36 17 and 19 are consecutive odd integers.

The integers are -11 and -10.

The integers are 20 and 22.

That can never happen, and there's no solution.

no solution. If you solve for x (where x is the first integer) the answer is a fraction, which is not an integer.

No. There is no set of three consecutive even integers with a sum of 40.

There is no set of three consecutive odd or even integers whose sum is negative 31.

17 , 19 , 21 and 23 are the odd integers whose sum is 80 and the least integer is 17

The consecutive integers whose sum is 51 are 16, 17, and 18.

18

The two consecutive integers whose sum is 73 are 36 and 37.