Problema Solution

a mother is 20 years older than her daughter. 5 years from now she will be thrice as old as her daughter. how old is the daughter?

Answer provided by our tutors

let


m = the age of the mother

d = the age of the daughter


a mother is 20 years older than her daughter


m = d + 20


5 years from now she will be thrice as old as her daughter


(m + 5) = 3(d + 5)


by solving the system of equations


m = d + 20

(m + 5) = 3(d + 5)


we find


d = 5 years


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the daughter is 5 years old now.