You can put this solution on YOUR website! The sum of two numbers is 11 and their difference is 6. Find the numbers.
.
Let x = one of two numbers
and y = second of two numbers
then
from: "The sum of two numbers is 11"
x + y = 11 (equation 1)
.
from: "and their difference is 6"
x - y = 6 (equation 2)
.
To solve use the "addition method" -- add the two equations together:
x + y = 11
x - y = 6
--------------
2x + 0y = 5
2x = 5
x = 5/2
.
Substitute the above into equation 1 and solve for y:
x + y = 11
5/2 + y = 11
y = 11 - 5/2
y = 22/2 - 5/2
y = 17/2
.
Solution:
The two numbers are 5/2 and 17/2
