The addition, subtraction, product, and division between 2 positive integers are known to be all even.
Let X represent the larger of the 2 numbers and Y represent the smaller of the 2 numbers.
Which of the following options is correct?
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If X + Y is even, so X ≡ Y ( m o d 2 )
X Y is even, so one of X and Y must be even.
So, both of them are even. Let X = 2 x , Y = 2 y
Y X = y x is an even number, so x is even, 2 x is a multiple of 4.
Hence, X must be a multiple of 4, and Y must be an even number.