Question

the sum of two numbers is 12 and their difference is 8. what are the two numbers?

Answer 1

Let's call the two numbers x and y.

From the given information, we can write two equations:

1) x + y = 12
2) x - y = 8

Now, we can solve these two equations simultaneously to find the values of x and y.

From equation 1:
x = 12 - y

Substitute this into equation 2:
(12 - y) - y = 8
12 - 2y = 8
-2y = -4
y = 2

Now, substitute the value of y back into equation 1:
x + 2 = 12
x = 10

Therefore, the two numbers are 10 and 2.