Problema Solution

A mother is three times as old as her daugther, in twelwe years time she will be twice as old. How old is the mother now?

Answer provided by our tutors

let


m = the age of the mother

d = the age of the daughter


A mother is three times as old as her daughter


m = 3d


in twelve years time she will be twice as old


m + 12 = 2(d + 12)


by solving the system of equations


m = 3d

m + 12 = 2(d + 12)


we find


m = 36 years


d = 12 years


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the mother is 36 years old

the daughter is 12 years old.