Another even number.
2x represents any even number (divisible by 2)
2y represents any other even number (again, divisible by 2)
2x + 2y = 2(x+y) It does not matter what x+y is, because it is multiplied by 2 so 2(x+y) is divisible by 2, therefore even.
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When adding numbers, the total is the sum. The sum of two odd numbers is even.
Difference of two odd numbers is an even number. Adding an even number changes nothing.
The sum of two even number is always even. So there are no such numbers.
For a set to be closed under an operation, doing the operations on any two members of the set must result in another member of the set.The set of even natural numbers is {2, 4, 6, ...}.When two even numbers are added, the result is also an even number.Adding two positive numbers results in a larger positive number.Thus, adding two even natural numbers together results in another even natural number and so is closed.The set of even whole numbers is {..., -6, -4, -2, 0, 2, 4, 6, ...}.When two even numbers are added, the result is also an even number.It does not matter which combination of positive and negative whole numbers are added as all positive and negative whole numbers (including zero) are in the set. Thus it is also closed under addition.
There are no 5 odd numbers that when added together make 30.Two odd numbers added together make an even numberAn odd number plus and even number makes an odd number.From the five odd numbers:Take two of them and add them together getting an even number and four odd numbersAdd another of the odd numbers to this even number and you will have three odd numbersAdd two of these together and you will have one even and one odd number.Finally add these odd and even numbers together and the result will be an odd numberBut 30 is an even number, so cannot be the sum of five (or any odd number of) odd numbers.