# SOLUTION: Hi, Here's my fourth and final GRE math prep word problem of the day: If 3 time's Jane's age, in years, is equal to 8 times Beth's age, in years, and the difference between their

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Hi, Here's my fourth and final GRE math prep word problem of the day: If 3 time's Jane's age, in years, is equal to 8 times Beth's age, in years, and the difference between their      Log On

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 170454: Hi, Here's my fourth and final GRE math prep word problem of the day: If 3 time's Jane's age, in years, is equal to 8 times Beth's age, in years, and the difference between their ages is 15 years, how old are Jane and Beth? Thank you, JulieAnswer by nerdybill(6962)   (Show Source): You can put this solution on YOUR website!Let J = Jane's age and B = Beth's age . From: "3 time's Jane's age, in years, is equal to 8 times Beth's age" 3J = 8B (equation 1) . From: "difference between their ages is 15 years" J-B = 15 (equation 2) . Solving equation 2 for J: J-B = 15 J = 15+B . Plug the above into equation 1 and solve for B: 3J = 8B 3(15+B) = 8B 45+3B = 8B 45 = 5B 9 = B (Beth's Age) . Plug the above into equation 2 and solve for J: J-B = 15 J-9 = 15 J = 24 (Jane's Age)