SOLUTION: A gold coin is 84 years older than a silver coin. Twenty years ago, the gold coin was three times as old as the silver coin was then. Find the present ages of the two coins.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: A gold coin is 84 years older than a silver coin. Twenty years ago, the gold coin was three times as old as the silver coin was then. Find the present ages of the two coins.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 850581: A gold coin is 84 years older than a silver coin. Twenty years ago, the gold coin was three times as old as the silver coin was then. Find the present ages of the two coins.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A gold coin is 84 years older than a silver coin. Twenty years ago, the gold coin was three times as old as the silver coin was then. Find the present ages of the two coins.
------
Equations:
g = s + 84
----------------
g-20 = 3(s-12)
-------------------
Substitute and solve for "s":
s+84-20 = 3s-36
2s = 100
s = 50 yrs. (age of the silver coin)
------
Solve for "g":
g = s + 84
g = 50+84 = 134 yrs. (age of the gold coin)
=====================
Cheers,
Stan H.
=====================