SOLUTION: Vanessa is 33 times as old as Christopher. 1616 years ago, Vanessa was 77 times as old as Christopher. How old is Christopher now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Vanessa is 33 times as old as Christopher. 1616 years ago, Vanessa was 77 times as old as Christopher. How old is Christopher now?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 957918: Vanessa is 33 times as old as Christopher. 1616 years ago, Vanessa was 77 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!
As written:
C= Christopher's age; V= Vanessa's age=33C
V-1616yrs=77(C-1616yrs) Substitute for V
33C-1616yrs=77C-124432yrs Add 1616 to each side.
33C=77C-122816 Add 122816-33C to each side
122816=44C Divide each side by 44
2791.27=C ANSWER: Christopher was 2791.27 years old
.
.
EDITED QUESTION:
Vanessa is 3 times as old as Christopher. 16 years ago, Vanessa was 7 times as old as Christopher.
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
Please type more carefully in the future.