SOLUTION: Rosa is 18 years old and Arthur is 24 years old. How many years ago was Arthur three times as old as Rosa?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Rosa is 18 years old and Arthur is 24 years old. How many years ago was Arthur three times as old as Rosa?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 113119: Rosa is 18 years old and Arthur is 24 years old. How many years ago was Arthur three times as old as Rosa?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
osa is 18 years old and Arthur is 24 years old. How many years ago was Arthur three times as old as Rosa?
:
Let x = number of years ago that this statement was true
:
A's age x yrs ago = 3 times R's age x yrs ago
:
24 - x = 3(18 - x)
:
24 - x = 54 - 3x; multiplied what's inside the brackets
:
-x + 3x = 54 - 24
:
2x = 30
:
x = 15 yrs ago. You can check and see if this is true: