All even numbers are those divisible by 2; they end with one of {0, 2, 4, 6, 8}.
126 ends with one of {0, 2, 4, 6, 8}, thus it is even.
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There is no solution. Since 126 is even and two consecutive integers have to be one odd and one even number, an odd and an even number cannot summate to an even number.
Yes it would Even + even = even Even + odd = odd Odd + odd = even
because that's the theory of maths even x even = even even x odd = odd even + even = even even + odd = odd
because... odd+odd=even even+odd=odd e.g 1+1+1=3 odd+odd+odd=odd
odd. odd=odd odd+odd=even odd+odd+odd=odd it keeps alternating in that fashion