Multiples of 4

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tragicallylost

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Apr 17, 2007
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The problem is to find 2 even numbers whose sum is not a multiple of 4.

If x = 2a and y= 2b, then you have 2a + 2b = 2(a+b). Both numbers are even and their sum is not a multiple of 4. Is this correct? Thanks.
 
tragicallylost said:
The problem is to find 2 even numbers whose sum is not a multiple of 4.

If x = 2a and y= 2b, then you have 2a + 2b = 2(a+b). Both numbers are even and their sum is not a multiple of 4. Is this correct? Thanks.
Click to expand...

How do you know a and b are not both even or odd? It looks like it should hold for any two integers a,b with different parity. Specifically, any integers that add to 4k+2 for some k.
 
Hi. I'm kind of confused. So are you saying that what I had will work as long as a and b are different in the sense that one is even and the other is odd? Thanks.
 
tragicallylost said:
The problem is to find 2 even numbers whose sum is not a multiple of 4.
Click to expand...
2 + 4 = 6 ; why can't you simply stop at this point?
That's 2 even numbers, sum not divisible by 4.
 
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