Question

Question #ade54

Answer 1

Answer: `13` and `8`

Explanation:

The sum of 2 numbers is 21 and their difference is 5. Can you find the numbers?

We can write a system of equations, let `x` and `y` be the two numbers. Since it is given that difference between `x` and `y` is not zero, we can assume that one must be greater than the other, say `x>y`:
`x+y=21`
`x-y=5`

Now, we solve the system by elimination. We can add the equations together to eliminate the `y` variable and solve for `x`:
`x+y+x-y=21+5`
`2x=26`
`x=13`

Now, we can substitute back into either of the equations to find `y`, we will use `x-y=5`:
`13-y=5`

Adding `y` to both sides and subtracting `5` from both sides, we get:
`y=8`

Therefore, the two numbers are `13` and `8`