SOLUTION: Shobo's mother's present age is six times shobo's present age . Shobo's age five years from now will be one third of his mother's present age . What are their present age?

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Question 1084648: Shobo's mother's present age is six times shobo's present age . Shobo's age five years from now will be one third of his mother's present age . What are their present age?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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let s = Hobo's age
let m = mother's age
:
Write an equating for each statement
:
Shobo's mother's present age is six times shobo's present age .
m = 6s
Shobo's age five years from now will be one third of his mother's present age .
s + 5 = 1%2F3m
What are their present age?
In the 2nd equation replace m with 6s
s + 5 = 1%2F3(6s)
Cancel the 3 into the 6
s + 5 = 2s
5 = 2s - s
5 = s
S is 5 yrs old, then 6(5) = 30 is Mom's age
:
:
See if that checks out in the 2nd equation
5 + 5 = 1%2F3*30