# SOLUTION: Millie is 2/3 as old as maude. Six years from now millie will be 5/7 as old as maude will be. How old is each?

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 Click here to see ALL problems on Expressions-with-variables Question 130578: Millie is 2/3 as old as maude. Six years from now millie will be 5/7 as old as maude will be. How old is each?Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!MILLIE=2X/3 NOW. MAUDE=X NOW. IN 6 YEARS: (2X/3)+6=5/7(X+6) 2X/3+6=(5X+30)/7 CROSS MULTIPLY 5X+30=7(2X/3+6) 5X+30=14X/3+42 5X+30=(14X+3*42)/3 5X+30=(14X+126)/3 CROSS MULTIPLY 3(5X+30)=14X+126 15X-14X=126-90 X=36 MAUDE'S AGE NOW. 2*36/3=72/3=24 MILLIE'S AGE NOW. PROOF 24+6=(5/7)(36+6) 30=(5*42/7) 30=210/7 30=30