SOLUTION: The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result is 30. Find the numbers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result is 30. Find the numbers.      Log On


   

Question 182096: The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result is 30. Find the numbers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result is 30. Find the numbers
---------------------------------------
Equations:
x + y = 4x
2y-x = 30
-----------------
Rearrange:
y = 3x
x = 2y - 30
substitute to solve for "Y":
y = 3(2y-30)
y = 6y - 90
5y = 90
y = 18
------------
x = 2y-30 = 2*18-30 = 6
------------------------------
Cheers,
StanH.
=================