The average age of Father ,Mother and son is 38 year.5 year before the age of the father is 25% more than the age of mother and the difference between the age of mother and son was 31 year .At present the difference between the ahe of father and son is 41. What is the present age?
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Answer:
avg age= (father+mother+son) /3
38=(f+m+s) /3
(f+m+s) =114
5yr before
so we have to minus 5 from each person
so totally we have to minus 15 from 114
5yr before they total age=114-15=99
(i) f age=125/100 of mother age
(ii) mother - son = 31
son=M -31
(125M/100) +(M) + (M-31) =99
1.25M+M+M-31=99
M=40 (this is 5yr before)
current M age 45
current difference between father and son=41
F+M+S=114
F+S=114-45 =69
F-S=41...... (1)
F+S=69...... (2)
solve this two eqn
get f age=55
s age=14
ans F=55 M=45 S=14
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