document.write( "Question 1195211: The sum of the ages of Jordan and Christy is 70 years. 8 years ago, Jordan's age was 2 times Christy's age. How old is Jordan now? \n" ); document.write( "
Algebra.Com's Answer #827639 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "There are dozens of ways to set up and solve a problem like this. The response from the other tutor showed one of them. \n" ); document.write( "I personally would solve the whole thing using logical reasoning and simple arithmetic; but you are probably looking for a formal algebraic solution. \n" ); document.write( "For and algebraic solution, I would still work part of the problem using logical reasoning to make the algebra required to solve the problem easier, before actually setting the problem up using formal algebra. \n" ); document.write( "Since the sum of their ages now is 70, the sum of their ages 8 years ago was 70-2(8) = 70-16 = 54. At that time, Jordan's age was twice Christy's age. So \n" ); document.write( "let x = Christy's age 8 years ago \n" ); document.write( "then 2x = Jordan's age 8 years ago \n" ); document.write( "The sum of their ages 8 years ago was 54: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "8 years ago, Christy's age was x=18 and Jordan's age was 2x=36. So now their ages are 18+8=26 and 36+8=44. \n" ); document.write( "ANSWER: Jordan is now 44 years old. \n" ); document.write( " \n" ); document.write( " |