Question

Question #44fd3

Answer 1

`x = 50.5 and y = 49.5`

Explanation:

Let the two numbers be `x and y`

Write two equations showing the sum as 100 and the difference as 1:

`color(white)(.............)x+y = 100color(white)(...............)A`
`color(white)(.............)x-y = " "1color(white)(...............)B`

Notice that the terms in `y` are additive inverses - add the equations.

`A+B: color(white)(...)2x = 101`
`color(white)(................)x = 50.5`

Now use `x = 50.5` to find `y`

`y = 100-x`
`y =100-50.5=49.5`

`50.5+49.5=100`
`50.5-49.5 =1`