Problema Solution

5 years ago a man was 7 times as old as his son .After 5years he will be thrice as old as his son.Find their present age.

Answer provided by our tutors

let


m = the age of the man now

s = the age of the son now


5 years ago a man was 7 times as old as his son


m - 5 = 7(s - 5)


after 5 years he will be thrice as old as his son


m + 5 = 3(s + 5)


by solving the system of equations


m - 5 = 7(s - 5)

m + 5 = 3(s + 5)


we find


m = 40 years


s = 10 years


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the man is 40 years old now.

the won is 10 years old now.