Problema Solution

When Gary and Rowena were married, Rowena was two years younger than Gary. How old was Gray on his wedding day if sixteen years before his wedding he was twice as old as Rowena was then?

Answer provided by our tutors

let


g = the age of Gary

r = the age of Rowena


Rowena was two years younger than Gary


r = g - 2


sixteen years before the wedding Gary was twice as old as Rowena


(g - 16) = 2(r - 16)


by solving the system of equations


r = g - 2

(g - 16) = 2(r - 16)


we find


g = 20 years


r = 18 years


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Gary was 20 years old on his wedding day.