Problema Solution

a fathers age is twice his daughters age but 16 years ago the fathers age was 4 times his daughters age.calculate their ages

Answer provided by our tutors

let


f = the age of the father

d = the age of the daughter


a fathers age is twice his daughters age


f = 2d


16 years ago the fathers age was 4 times his daughters age


(f - 16) = 4(d - 16)


by solving the system of equations


f = 2d

(f - 16) = 4(d - 16)


we find


f = 48 years


d = 24 years


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the father is 48 years old.

the daughter is 24 years old.