SOLUTION: Vanessa is 3 times as old as Christopher. 16 years ago, Vanessa was 7 times as old as Christopher. How old is Christopher now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Vanessa is 3 times as old as Christopher. 16 years ago, Vanessa was 7 times as old as Christopher. How old is Christopher now?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 957919: Vanessa is 3 times as old as Christopher. 16 years ago, Vanessa was 7 times as old as Christopher.
How old is Christopher now?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
C=Christopher's age; V=Vanessa's age=3C
V-16=7(C-16) Substitute for V
3C-16=7C-112 Add 112 to each side.
3C+96=7C Subtract 3C from each side.
96=4C Divide each side by 4.
24=C ANSWER: Christopher is 24 years old
Vanessa is 3(24yrs)=72 years old.
CHECK
V-16yrs=7(C-16yrs)
72yrs-16yrs=7(24yrs-16yrs)
56yrs=7(8yrs)
56yrs=56yrs