SOLUTION: if the difference between two number is odd, then the two number are both odd? give and explame that makes it false

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Question 396660: if the difference between two number is odd, then the two number are both odd? give and explame that makes it false
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
That's false, the difference between 2 odd numbers is always even.
eg, 11-7 = 4
1 counter-example is sufficient to disprove that.
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Odd numbers can always be expressed as
2n + 1, where n is any integer.
1 odd number is 2n + 1, another is 2m + 1
2n + 1 - (2m+1) = 2n - 2m = 2(n - m)
2*(n-m) is even.