SOLUTION: lynne is currently 100% older than her younger sister sylvie. in 8 years , she will be only 20% older. how old is sylvie now ? a) 2 years b) 4 years c) 10 years d)

Question 315472: lynne is currently 100% older than her younger sister sylvie. in 8 years , she will be only 20% older. how old is sylvie now ?
a) 2 years b) 4 years c) 10 years d) 20 years e) none
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
lynne is currently 100% older than her younger sister sylvie.
this means Lynne is Twice as old as Sylvie
L = 2S
:
in 8 years , she will be only 20% older.
L + 8 = 1.2(S + 8)
L + 8 = 1.2s + 9.6
L = 1.2s + 9.6 - 8
L = 1.2s + 1.6
:
how old is sylvie now ?
Replace L with 2S in the above equation
2S = 1.2s + 1.6
2s - 1.2s = 1.6
.8s = 1.6
s =
s = 2 yrs Sylvie now
:
:
Check solution in the statement (Lynne is 4):
"in 8 years , she will be only 20% older.
4 + 8 = 1.2(2 + 8)
12 = 1.2(10); confirms our solution of S = 2
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