SOLUTION: The difference of two numbers is 49. The second is 3 less than 5 times the first. What is the smaller number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The difference of two numbers is 49. The second is 3 less than 5 times the first. What is the smaller number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 295433: The difference of two numbers is 49. The second is 3 less than 5 times the first. What is the smaller number?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of two numbers is 49. The second is 3 less than 5 times the first. What is the smaller number?
------
Equations:
x - y = 49
y = 5x-3
------
Substitute for "y" and solve for "x":
x -(5x-3) = 49
-4x+3 = 49
-4x = 46
x = -23/2
-------------------
y = 5(-23/2) -3
y = -115/2 - 6/2
y = -121/2
---------------------
Cheers,
Stan H.