SOLUTION: The larger of 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. Can you please explain how

Algebra ->  Expressions-with-variables -> SOLUTION: The larger of 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. Can you please explain how       Log On


   



Question 499072: The larger of 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.

Can you please explain how you got your answer and please include the let statement and the equation. THANK YOU!

Answer by chessace(471) About Me  (Show Source):
You can put this solution on YOUR website!
Let L=larger, S=smaller.
Translate:
L=5*S-12
S=L/3
Substitute:
L=5*(L/3)-12
*3: 3L=5L-36
2L=36
L=18
S=6