Question

Question #424e2

Answer 1

I am assuming that you want to find TWO numbers that give you `16` when you add and `2` when you subtract the second from the first number.

The first number is `9`. The second number is `7`.

Explanation:

If your question is different, let me know.

Let the two numbers be `A` and `B`.

We are given that

`A + B = 16 " "`(Equation 1)

`A - B = 2" "` (Equation 2)

Using Equation 1, we can find the value of `A` as follows:

`A = (16 - B)`

Substitute this value of `A` in Equation 2. We get

`(16 - B) - B = 2`

That is,

`16 - B - B = 2`

`16 - 2B = 2`

`-2B = 2 - 16`

`-2B = -14`

`2B = 14`

`B = (14/2) = 7`

Substitute this value of `B` in Equation 1, to find the value of `A`

`A + 7 = 16`

`A = 16 - 7`

`A = 9`

Hence,

`A = 9 and B = 7`