Problema Solution

A mother is 9 times the age of her daughter in 30 years time she will be twice the age of her daughter how old are they now

Answer provided by our tutors

let


m = the age of the mother now

d = the age of the daughter now


a mother is 9 times the age of her daughter


m = 9d


in 30 years time she will be twice the age of her daughter


m + 30 =2(d + 30)


by solving the system of equations


m = 9d

m + 30 =2(d + 30)


we find


d = 30/7 = 4 2/7 years


m = 270/7 = 38 4/7 years


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