SOLUTION: ages of two sisters are proportinal to 6 and 8 nom . After 6 years , their ages will be proportional to 4 and 5 repectively . What is the age of the older sister now ? a) 26

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Question 1055455: ages of two sisters are proportinal to 6 and 8 nom . After 6 years , their ages will be proportional to 4 and 5 repectively . What is the age of the older sister now ?
a) 26 b) 24 c) 20 d) 18 e)16

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
ages of two sisters are proportional to 6 and 8 now .
let x = the multiplier
then
6x = present age of one sister
and
8x = present age of the other
:
After 6 years , their ages will be proportional to 4 and 5 respectively .
%28%286x%2B6%29%29%2F%28%288x%2B6%29%29 = 4%2F5
cross multiply
4(8x+6) = 5(6x+6)
32x + 24 = 30x + 30
32x - 30x = 30 - 24
2x = 6
x = 6/2
x = 3
What is the age of the older sister now ?
8*3 = 24 yrs