SOLUTION: a man nine times as old as his son. In nine years, he will be only three times as old as his son.How old are each now? after you answer can you do some checkings? thanks
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Question 422697: a man nine times as old as his son. In nine years, he will be only three times as old as his son.How old are each now? after you answer can you do some checkings? thanks Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! let m = the man's present age
let s = son's age
;
a man nine times as old as his son.
m = 9s
:
In nine years, he will be only three times as old as his son.
m + 9 = 3(s + 3)
m + 9 = 3s + 27
m = 3s + 27 - 9
m = 3s + 18
Replace m with 9s (from the 1st equation)
9s = 3s + 18
9s - 3s = 18
6s = 18
s =
s = 3 yrs is son's age
then
m = 9(3)
m = 27 yrs is the man's age
:
How old are each now? 3 and 27
:
I'll let you check to see if this is true, replace s and m with 3 and 27 in
the equations