Problema Solution

A father is three times as old as his son ,in12 years time , he will be twice as old .

How old is the father now?

Answer provided by our tutors

let


x = the age of the father at the moment

y = the age of the son at the moment


a father is three times as old as his son


x = 3y


in 12 years time , he will be twice as old


x + 12 = 2(y + 12)


by solving the system of equations


x = 3y

x + 12 = 2(y + 12)


we find


x = 36 years


y = 12 years


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The father is 36 years old now.