The sum of 2 numbers is 19 and their difference is 1.What are the 2 numbers?

Answer 1

9 and 10

First the main formulas:

a+b=19

a-b=1

Find out what one of the variables are.

We can choose "a" or "b" from either of the two formulas.

Let's choose "a" from the a-b=1 formula.

a - b = 1 [formula]

a-b (+b) = 1 (+b) [solve for "a" by removing "b"]

a = 1+b

Plug that "a" into the other formula a+b=19.

a + b = 19

(1+b) +b = 19

1 + 2b = 19

1 + 2b - 1 = 19 -1

2b = 18

b = 9

Plug that into our formula solved from before for "a"

a = 1 + b

a = 1 + (9)

a = 10