Problema Solution

2 years from now, Jorge will be three times as old as marta is now. in ten years, Jorge will be four times as old as marta is now. what are Jorge's and Marta's ages?

Answer provided by our tutors

let


j = the age of Jorge

m = the age of Marta


2 years from now, Jorge will be three times as old as marta is now


j + 2 = 3m


in ten years, Jorge will be four times as old as marta is now


j + 10 = 4m


by solving the system of equations


j + 2 = 3m

j + 10 = 4m


we find


j = 22 years old


m = 8 years old


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Jorge is 22 years old.

Marta is 8 years old.