# the sum of 2 numbers is 6 and difference is 2, what are the numbers

### 3 Answers | Add Yours

The sum of 2 numbers: `x + y = 6.`

The difference of 2 numbers `x - y = 2.`

Can use elimination to solve the system of 2 equations.

Add the 2 equations together we get:

`2x = 8` Dividing by 2, we get:

`x = 4.`

` `Substitute x = 4 in to either equation to find y.

`4 + y = 6 rArr y = 2` and

`4 - y = 2rArr y = 2`

**Therefore the two numbers are 4 and 2.**

Let the two numbers be X and Y. The sum of the numbers is 6, X + Y = 6. And their difference is 2, X - Y = 2

Adding the two equations 2X = 8, X = 4. As Y = X - 2 = 4 - 2 = 2

**The two numbers are 4 and 2**

The numbers N and M have to be determined such that the sum of M and N is 6 and the difference of M and N is 2.

As the sum is 6, M + N = 6

The difference being 2 gives M - N = 2 and N - M = 2

Now M - N = 2 gives M = N + 2 and N - M = 2 gives N = M + 2

Substituting M = N + 2 in the equation M + N = 6 gives N + 2 + N = 6 or N = 2

The value of M is N + 2 = 4

Even if we were to take M = N + 2 the same two numbers would be obtained.

This problem has only one solution. The two numbers are 2 and 4.