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The simplest set of 4 would be -1, -2, -3 and -4. Any other set of four different integers would require one to be zero or positive (e.g. 0, -2, -3, -5 or 1, -2, -4, -5).
There is a set of four consecutive even integers whose sum is four. The set is: -2, 0, 2 and 4.
The two integers are -4 and 7.
118
The integers are -2, 0, 2 and 4.
They are -6, -5 and -4.
There is a set of four consecutive even integers whose sum is four. The set is: -2, 0, 2 and 4.
The two integers are -4 and 7.
118
The integers are -2, 0, 2 and 4.
-3 and -4
-3 and -4
The integers are 27, 28, 29 and 30.
They are -6, -5 and -4.
4, 5, and 6 are.
18
The integers are -2, -1, 0 and 1.
There is no pair of consecutive even integers whose sum is 264 - as their average is divisible by 4, that must mean that the sum of the unit digits of each of the pair of numbers could never be a multiple of 4 - which 264 is.