Problema Solution

House A is twice as old as house B. 9 years ago house A was three times as old as House b. How old are the houses now?

Answer provided by our tutors

let


a = the age of house A now


b = the age of house B now


House A is twice as old as house B:


a = 2b


9 years ago house A was three times as old as House B:


a - 9 = 3(b - 9)


by solving the system of equations:


a = 2b


a - 9 = 3(b - 9)


we find:


a = 36 years


b = 18 years


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House A is 36 years old now.


House B is 18 years old now.