Problema Solution

5 year ago a mother is as old as her son then 6 year later there total age is 82.what will be there present age

Answer provided by our tutors

let


m = the present age of the mother


s = the present age of the son


5 year ago a mother is as old as her son


5 years ago the age of the mother will be: m - 5


5 years ago the age of the son will be: s - 5


m - 5 = s - 5


6 year later there total age is 82


m + 6 + s + 6 = 82


m + s + 12 = 82


m + s = 82 - 12


m + s = 70


by solving the system of equations:


m - 5 = s - 5

m + s = 70


we find


m = 35 years


s = 35 years


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the present age of the mother in the same as her son.


The problem doesn't make sense in real life since the mother and son can never be same age (the mother is always older than her son).


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