Problema Solution

a man is ten times as older as his daughter. in 5 years time he will be 5 times as old as his daughter, ho old are both of them

Answer provided by our tutors

let


f = the age of the father

d = the age of the daughter


a man is ten times as older as his daughter


f = 10d


in 5 years time he will be 5 times as old as his daughter


f + 5 = 5(d + 5)


by solving the system of equations


f = 10d

f + 5 = 5(d + 5)


we find


f = 40 years


d = 4 years


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the man is 40 years old, and his daughter is 4 years old.