document.write( "Question 549169: jim is now three times as old as amy. four years ago, jim was seven times as old as amy was then. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #357510 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! J = Jim's age \n" ); document.write( "A = Amy's age \n" ); document.write( ". \n" ); document.write( "Jim is 3 times as old as Amy. \n" ); document.write( "J = 3*A \n" ); document.write( ". \n" ); document.write( "Four years ago: \n" ); document.write( "J-4 = Jim's age \n" ); document.write( "A-4 = Amy's age \n" ); document.write( ". \n" ); document.write( "Four years ago, Jim was 7 times as old as Amy. \n" ); document.write( "J-4 = 7*(A-4) \n" ); document.write( ". \n" ); document.write( "Substitute J=3*A \n" ); document.write( ". \n" ); document.write( "3A-4 = 7A - 28 \n" ); document.write( ". \n" ); document.write( "3A -7A = -28 + 4 \n" ); document.write( ". \n" ); document.write( "-4A = -24 \n" ); document.write( ". \n" ); document.write( "A = 6 \n" ); document.write( ". \n" ); document.write( "J = 3*A = 3*6 = 18 \n" ); document.write( ". \n" ); document.write( "Check how old they were 4 years ago. \n" ); document.write( "A = 6-4 = 2 \n" ); document.write( "J = 18-4 = 14 \n" ); document.write( "14 = 7*2 ? \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: Amy is 6, and Jim is 18. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |