SOLUTION: Andy says my mother is 9 times as old as i am. In 3 years she will be only five times as old as i will be. How old am i?

Question 1041878: Andy says my mother is 9 times as old as i am. In 3 years she will be only five times as old as i will be. How old am i?
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Lt a = Andy's age
let m = mothers age
:
Write an equation for each statement
:
Andy says my mother is 9 times as old as i am.
m = 9a
In 3 years she will be only five times as old as i will be.
m + 3 = 5(a + 3)
m + 3 = 5a + 15
m = 5a + 15 - 3
m = 5a + 12
replace m with 9a (from the 1st statement)
9a = 5a + 12
9a - 5a = 12
4a = 12
a = 12/4
a = 3 yrs is Andy's age
:
:
Find Mom's age and Check this out in the 2nd statement
m = 9(3)
m = 27 yrs
"In 3 years she will be only five times as old as i will be"
27 + 3 = 5(3 + 3)
30 = 5(6)

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Andy's age now
Let = Andy's mother's age now
--------------------------------
(1)
(2)
--------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
---------------
Andy is 3 now
---------------
check:
(2)
(2)
(2)
(2)
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