sum of 2 numbers is 19 and the difference is 7

Answer 1

here's what we know

a + b = 19

a - b = 7

To solve this, we use the addition method to add the equations together and remove a variable:

a + b = 19

a - b = 7

-----------------

2a + 0b = 26

2a = 26

Divide both sides by 2:

2a / 2 = 26 / 2

a = 13

Now to find b:

13 + b = 19

13 + b - 13 = 19 - 13

b = 6

check:

13 - 6 = 7

7 = 7