SOLUTION: Please help me out. The sum of two numbers is 50. The difference of the same two numbers is 4. Find the two numbers.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Please help me out. The sum of two numbers is 50. The difference of the same two numbers is 4. Find the two numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 133436: Please help me out.
The sum of two numbers is 50. The difference of the same two numbers is 4. Find the two numbers.

Answer by nycsharkman(136) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 50. The difference of the same two numbers is 4. Find the two numbers.
Let x = the first number.
Let (50 - x) = the second number.
This is like saying if I have 50 cents and gave you 20 cents,
then I have (50 - 20) cents left in my pockets.
Back to your question.
The difference of the first number and the second number = 4.
x -(50 - x) = 4
We now solve for x.
x - 50 + x = 4
2x = 50 + 4
2x = 54
x = 54/2
x = 27
The two numbers are 27 and 50 - 27 or 23.
Did you follow?