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?

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) (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
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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.

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