SOLUTION: The sum of two numbers is 200 and their difference is 66. What are the numbers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two numbers is 200 and their difference is 66. What are the numbers?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1017970: The sum of two numbers is 200 and their difference is 66. What are the numbers?
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x and y be the two numbers. Let x be the larger number.

"The sum of two numbers is 200" ---> x+y = 200
"their difference is 66" ----> x-y = 66

System of equations:

x+y = 200
x-y = 66

Add up the equations. Add straight down

x+y = 200
x-y = 66
---------
2x+0y = 266

So if 2x = 266, then x = 133 (divide both sides by 2)

Now use x = 133 to find y.

x+y = 200
133+y = 200 ... replace x with 133
133+y-133 = 200 - 133 ... subtract 133 from both sides
y = 67

So we know that x = 133 and y = 67

The two numbers are 133 and 67.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 200 and their difference is 66. What are the numbers?
---------------
Equations:
x + y = 200
x - y = 66
--------------
Add and solve for "x"::
2x = 266
x = 133
------
Solve for "y"::
x + y = 200
133 + y = 200
y = 67
---------------
Cheers,
Stan H.
-----------