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. "

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) (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.
RELATED QUESTIONS
QUESTION: Three years ago Maris was three times as old as Lloyd. Three years hence, she... (answered by savvyhush23)

Three years ago, Mary was three times as old as Ann. Three years hence she will be twice... (answered by ankor@dixie-net.com)

three years ago zery was three times as old as rick three years hence she will be twice... (answered by lwsshak3)

three years ago, Rica was thrice as old as Dandy. Three years hence, she will be twice as (answered by sachi)

three years ago,Rica was thrice as old as Dandy. three years hence, she will be twice as... (answered by swincher4391)

Three years ago, Rica was thrice as old as Danda. Three years hence, she will be twice as (answered by richwmiller)

Three years ago, Rica was thrice as old as Dandy. Three years hence, she will be twice as (answered by josgarithmetic)

Can you please help me solve this problem: Three years ago, Rica was thrice as old as... (answered by stanbon)