SOLUTION: The difference of two numbers are 40. Six times the smaller one minus the larger one is 5. Find the larger number. I really need help with this problem thank you much.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The difference of two numbers are 40. Six times the smaller one minus the larger one is 5. Find the larger number. I really need help with this problem thank you much.      Log On


   

Question 380649: The difference of two numbers are 40. Six times the smaller one minus the larger one is 5. Find the larger number.
I really need help with this problem thank you much.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of two numbers are 40. Six times the smaller one minus the larger one is 5. Find the larger number.
----
Equations:
x-y = 40
6y-x = 5
---------------
Rearrange:
x - y = 40
x -6y = -5
-----
Subtract the bottom eq from the top and solve for "y":
5y = 45
y = 9
-----
Substitute into x-y = 40 and solve for "x":
x - 9 = 40
x = 49
----------------
Cheers,
Stan H.