SOLUTION: A woman is now five times as old as her son .In five years time she will be three times as old as her son .Find their present ages.

Question 1029986: A woman is now five times as old as her son .In five years time she will be three times as old as her son .Find their present ages.
Found 2 solutions by fractalier, josmiceli:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call their ages now, w and s. So we write
w = 5s
In five years
w + 5 = 3(s + 5)
Now substitute for w and get
5s + 5 = 3s + 15
2s = 10
s = 5
so that
w = 25
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = woman's ge now
Let = son's age now
-------------------------
(1)
(2)
------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
----------------
The woman is 25
Her son is 5
----------------
check:
(2)
(2)
(2)
(2)
OK
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