Problema Solution

Jodie is 8 years older than her sister. In six years, Jodie will be twice as old as her sister will be in two years. How old is Jodie and how old is her sister?

Answer provided by our tutors

let


x = the age of Jodie


y = the age of her sister


Jodie is 8 years older than her sister:


x = y + 8


In six years, Jodie will be twice as old as her sister will be in two years:


x + 6 = 2(y + 2)


by solving the system of equations:


x = y + 8


x + 6 = 2(y + 2)


we find:


x = 18 years


y = 10 years


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Jodie is 18 years old and her sister is 10 years old.