SOLUTION: Christian is 3 times as old as Marie. Marie is 12 years younger than Christian. How old is Christian?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Christian is 3 times as old as Marie. Marie is 12 years younger than Christian. How old is Christian?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1109788: Christian is 3 times as old as Marie. Marie is 12 years younger than Christian. How old is Christian?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Christian is 3 times as old as Marie.
c = 3m
Marie is 12 years younger than Christian.
m = c - 12
Replace c with 3m, from the first statement
m = 3m - 12
m - 3m = -12
-2m = -12
m = -12/-2
m = +6 is Marie's age
:
How old is Christian?
c = 3(6)
c = 18 is Christian's age
:
:
Check solutions in the 2nd statement
" Marie is 12 years younger than Christian."
6 = 18 - 12