SOLUTION: THE SUM OF THE AGES OF A CHINA PLATE AND A GLASS PLATE IS 16 YEARS. FOUR YEARS AGO, THE CHINA PLATE WAS THREE TIMES THE AGE OF THE GLASS PLATE WAS THEN. FIND THE PRESENT AGE OF EAC

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: THE SUM OF THE AGES OF A CHINA PLATE AND A GLASS PLATE IS 16 YEARS. FOUR YEARS AGO, THE CHINA PLATE WAS THREE TIMES THE AGE OF THE GLASS PLATE WAS THEN. FIND THE PRESENT AGE OF EAC      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 369697: THE SUM OF THE AGES OF A CHINA PLATE AND A GLASS PLATE IS 16 YEARS. FOUR YEARS AGO, THE CHINA PLATE WAS THREE TIMES THE AGE OF THE GLASS PLATE WAS THEN. FIND THE PRESENT AGE OF EACH PLATE.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let C be the age of the china plate, G the age of the glass plate.
1.C%2BG=16
.
.
%28C-4%29=3%28G-4%29
C-4=3G-12
2.C-3G=-8
Subtract eq.2 from eq. 1,
C%2BG-C%2B3G=16-%28-8%29%29
4G=24
G=6years
Then from eq. 1,
C%2B6=16
C=10years