SOLUTION: The sum of two numbers is 11 and their difference is 6. Find the numbers.
Algebra.Com
Question 213058: The sum of two numbers is 11 and their difference is 6. Find the numbers.
Answer by nerdybill(7384) (Show Source): 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
RELATED QUESTIONS
the sum of two numbers is 11 and their difference is 6. find the number
(answered by MathLover1)
Find the value of two numbers if their sum is 11 and their difference is... (answered by Alan3354)
The Difference Of two Numbers is 1 .their sum is 11 . Find the... (answered by Alan3354)
The difference of two numbers is 6. Their sum is 30. Find the two... (answered by checkley71)
the sum of two numbers is 36.their difference is 6.find the... (answered by checkley79)
The sum of two numbers is 30 and their difference
is 6. Find the difference of their... (answered by ikleyn)
The difference of two numbers is 18, and their sum is 90. find the two... (answered by bam878s)
The sum of two numbers is 621, and their difference is 109. Find the two... (answered by vleith)
The sum of two numbers is 621, and their difference is 109. Find the two... (answered by checkley77)