Problema Solution

The sum of the present ages of a father and his son is 60 year.

Six year ago, father's age was five times the age of the son. After 6 years

son's age will be?

Answer provided by our tutors

let


f = the present age of the father

s = the present age of the son


The sum of the present ages of a father and his son is 60 year


f + s = 60


Six year ago, father's age was five times the age of the son


f - 6 = 5(s - 6)


by solving the system of equations


f + s = 60

f - 6 = 5(s - 6)


we find


f = 46 years


s = 14 years


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s + 6 = 14 + 6 = 20 years


after 6 years the son will be 20 years old.