Question

Question #2d9fe

Answer 1

The numbers are `12 and 7`

Explanation:

Choose variables for the two numbers first and then write two equations from the information given.

Let the numbers be `x and y`, where `x >y`

Their sum is 19: `" "x + y = 19......................A`
The difference is 5`" "x-y = 5........................B`

Adding the equations together will eliminate the y terms.

`A+B:" "2x= 24" "larr` divide both sides by 2

`color(white)(.....................................)x=12`

Once you know one number, the other is easy to find:

`12 +7 = 19 and 12-7 = 5`

The numbers are `12 and 7`