Answer:
See explanation below
Step-by-step explanation:
If x is even, then we know that x = 2k for a k ≥1
If y is odd, then we know that y = 2j -1 for a j≥1
Therefore, x + y can be written similarly as:
[tex]x+y[/tex]
[tex]2k +(2j-1)\\2(k+j)-1[/tex]
And clearly, 2(k + j) -1 is odd.
Therefore, the sum x + y is an odd number.
