# SOLUTION: Fred is 3 years older than his sister mary. In 7 years she will be six-sevenths of his age. how old are they?

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 Click here to see ALL problems on Age Word Problems Question 331147: Fred is 3 years older than his sister mary. In 7 years she will be six-sevenths of his age. how old are they?Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!mary's age =x fred's age will be x+3 .. after 7 years mary's age = x+7 Fred's age = x+3+7 = x+10 .. x+7= 6/7 * (x+10) multiply by 7 7(x+7)=(6/7)*7(x+10) 7x+49=6x+60 7x-6x= 60-49 x= 11 years - Mary's age Fred's age = x+3 = 11+3=14