SOLUTION: The larger of the two numbers is 12 less than 5 times the smaller. If the smaller number is equal to one-third of the larger number, find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The larger of the two numbers is 12 less than 5 times the smaller. If the smaller number is equal to one-third of the larger number, find the numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 310530: The larger of the two numbers is 12 less than 5 times the smaller. If the smaller number is equal to one-third of the larger number, find the numbers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The larger of the two numbers is 12 less than 5 times the smaller. If the smaller number is equal to one-third of the larger number, find the numbers.
------------------
Equations:
S = (1/3)L
L = 5S-12
--------------------
Note: L = 3S
-------------------
Substitute for "L" and solve for "S":
5S-12 = 3S
2S = 12
S = 6 (smaller)
L = 3S = 18 (larger)
=========================
Cheers,
Stan H.