Question

If the difference of two numbers is even then so is their sum.

Answer 1

Answer and explanation:

Statement - If the difference of two numbers is even then so is their sum.

Let the two even numbers be '2m' and '2n' with m and n are integers.

The difference of two number is

`2m-2n=2(m-n)`

Now, The sum of the numbers is

`2m+2n=2(m+n)`

Let
`m+n=k` where k is an integer

Then,
`2m+2n=2k` which is also an even number as 2 is multiplied with it.

So, If the difference of two numbers is even then so is their sum.

For example -

Let two even number 2 and 4.

The difference is
`4-2=2`, 2 is even.

The sum is
`4+2=6`, 6 is even.