what is the sum of two numbers is 14 and their difference is 4

Answer 1

Let "x" be one number and let "y" be the other number.

Then "the sum of two numbers is 14" means x + y = 14

And "their difference is 4" means x - y = 4

To solve, start with x + y = 14 and subtract y from both sides to get x = 14 - y

Then substitute "14 - y" into the second equation in place of "x":

(14 - y) - y = 4

14 - 2y = 4

-2y = -10

y = 5

Then use "x = 14 - y" to find out what "x" is:

x = 14 - y

x = 14 - 5

x = 9

So the two numbers are 9 and 5