SOLUTION: Beth is 14 years older than Aria. Last Year Beth was three times as old as Aria. How Old is Aria?

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 Click here to see ALL problems on Age Word Problems Question 77874: Beth is 14 years older than Aria. Last Year Beth was three times as old as Aria. How Old is Aria?Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website!Let x=Aria's age now Then x-1=Aria's age last year And x+14=Beth's age now And (x+14)-1=Beth's age last year Now we are told that: (x+14)-1=3(x-1) get rid of parens x+14-1=3x-3 or x+13=3x-3 subtract 13 and also 3x from both sides x-3x+13-13=3x-3x-3-13 collect like terms -2x=-16 divide both sides by -2 x=8----------------------Aria's age now---------ans CK x+14=8+14=22 Beths age now x+14-1=x+13=8+13=21 Beths age last year x-1=8-1=7------------------Aria's age last year Last year Beth was three times as old as Aria 21=7*3 21=21 also 8+14=22 22=22 Hope this helps---ptaylor