Problema Solution

Grace is four times as old as Vicki. Five years ago, Vicki was 30 years younger than Grace. Find their present ages.

Answer provided by our tutors

let


g = the present age of Grace


v = the present age of Vicki


Grace is four times as old as Vicki:


g = 4v


5 years ago, Vicki was 30 years younger than Grace:


v - 5 = g - 5 - 30


v - 5 = g - 35


by solving the system of equations:


g = 4v


v - 5 = g - 35


we find:


g = 40 years


v = 10 years


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Grace is 40 years old now.


Vicki is 10 years old now.