SOLUTION: Please answer this question : " Three years ago, Shara was three times as old as Kaye. Three years hence she will be twice as old a Kaye. Find the present age of each. "

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Question 231104: Please answer this question : " Three years ago, Shara was three times as old as Kaye. Three years hence she will be twice as old a Kaye. Find the present age of each. "
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Three years ago, Shara was three times as old as Kaye.
Three years hence she will be twice as old a Kaye.
Find the present age of each.
:
s = Sara's present age
k = Kay's present age
;
Write an equation for each statement:
:
" Three years ago, Shara was three times as old as Kaye. "
s - 3 = 3(k - 3)
s - 3 = 3k - 9
s = 3k - 9 + 3
s = 3k -6
:
"Three years hence she will be twice as old a Kaye."
s + 3 = 2(k + 3)
s + 3 = 2k + 6
s = 2k + 6 - 3
s = 2k + 3
:
Find the present age of each.
In the above equation, replace s with (3k-6)
3k - 6 = 2k + 3
3k - 2k = 3 + 6
k = 9 yrs is Kay's present age
;
I'll let you find s.