# 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)

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 Click here to see ALL problems on Age Word Problems 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) noneAnswer by ankor@dixie-net.com(15649)   (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