Question #2d9fe

Question

2500 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-16T17:52:18

The numbers are $12 and 7$ $12 and 7$

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

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

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 $12 and 7$