Problema Solution

A many is nine times as old as his son. In nine years, he will be only three times as old as his son. How old are each now?

Answer provided by our tutors

let


m = the age of the man at the moment

s = the age of the son at the moment


a man is 9 times as old as his son


m = 9s


in 9 years, he will be only 3 times as old as his son


m + 9 = 3(s + 9)


by solving the system of equations


m = 9s

m + 9 = 3(s + 9)


we find


m = 27 years


s = 3 years


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the man is 27 years old now.

the son is 3 years old now.