SOLUTION: The age of aman 5 year ago was seven times the age of his son. the ratio of their ages after 5 year will be 3:1. find their present ages?

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Question 262258: The age of aman 5 year ago was seven times the age of his son. the ratio of their ages after 5 year will be 3:1. find their present ages?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
: The age of a man 5 year ago was seven times the age of his son.
the ratio of their ages after 5 year will be 3:1.
find their present ages?
:
Let m = the man's present age
let s = son's present age
:
"The age of a man 5 year ago was seven times the age of his son."
m - 5 = 7(s - 5)
m - 5 = 7s - 35
m = 7s - 35 + 5
m = 7s - 30
:
"the ratio of their ages after 5 years will be 3:1."
%28m%2B5%29%2F%28s%2B5%29 = 3%2F1
cross multiply
m + 5 = 3(s+5)
m + 5 = 3s + 15
m = 3s + 15 - 5
m = 3s + 10
:
find their present ages?
Replace m with (7s-30) from the 1st statement equation
7s - 30 = 3s + 10
7s - 3s = 10 + 30
4s = 40
s = 10 yrs old is the son
:
I'll let you find the man's age