# SOLUTION: Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. How old is Bill now? I am having a difficult time with setting up the equa

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Age -> SOLUTION: Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. How old is Bill now? I am having a difficult time with setting up the equa      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Age Solvers Lessons Answers archive Quiz In Depth

 Question 323329: Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. How old is Bill now? I am having a difficult time with setting up the equation due to the fractions. Any and all help will be appreciated. Thank you. Answer by ankor@dixie-net.com(15645)   (Show Source): You can put this solution on YOUR website!Let a = Ann's present age Let b = Bill's present age : Write an equation for each statement: : "Ann's age is seven-tenths of Bill's age." a = b or a = .7b : "In 4 years Ann's age will be eight-elevenths of Bill's age." a + 4 = (b + 4) Multiply both sides by 11 11(a+4) = 8(b + 4) 11a + 44 = 8b + 32 11a = 8b + 32 - 44 11a = 8b - 12 Replace a with .7b 11(.7b) = 8b -12 7.7b = 8b - 12 12 = 8b - 7.7b 12 = .3b b = b = 40 is Bills age ; : Find a a = .7(40) a = 28 is Anns age check solution in the statement: "In 4 years Ann's age will be eight-elevenths of Bill's age." 28 + 4 = (40+4) 32 = *44 32 = 32