# SOLUTION: Ruffy is 3/4 as old as Orlie.Four years ago,Ruffy was 1year more than 1/2 old as Orlie.How old is each

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 Question 88943: Ruffy is 3/4 as old as Orlie.Four years ago,Ruffy was 1year more than 1/2 old as Orlie.How old is eachAnswer by ankor@dixie-net.com(15747)   (Show Source): You can put this solution on YOUR website!Let x = Ruffy's age now, Let y = Orlie's age now : Write an equation for what it says: "Ruffy is 3/4 as old as Orlie" x = .75y : "Four years ago, Ruffy was 1 year more than 1/2 old as Orlie." (x-4) = .5(y-4) + 1 x - 4 = .5y - 2 + 1 x = .5y - 2 + 1 + 4 x = .5y + 3 : Substitute .75y for x and solve for y: .75y = .5y + 3 .75y - .5y = 3 .25y = 3 y = 3/.25 y = 12 yrs old is Or : x = .75(12) x = 9 yrs old is Ruf : Check solutions using the statement: "Four years ago, Ruffy was 1 year more than 1/2 old as Orlie." 5 = .5(8) + 1