document.write( "Question 271973: John is 13 years less than 3 times as old as his son. Six years ago, he was 14 years more than twice as old as his son was then. How old is John? \n" ); document.write( "
Algebra.Com's Answer #199021 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! John is 13 years less than 3 times as old as his son. Six years ago, he was 14 years more than twice as old as his son was then. How old is John? \r \n" ); document.write( "\n" ); document.write( "Let x be the age of John's son and y be John's age. Six years ago John was y-6 year old and his son was x-6. Then we have:\r \n" ); document.write( "\n" ); document.write( "1.) y = 3*x - 13 and \n" ); document.write( "2.) y-6 = 2*(x-6) + 14\r \n" ); document.write( "\n" ); document.write( "Substitute 3x-13 for y (from 1.) in equation 2.):\r \n" ); document.write( "\n" ); document.write( "3x-13 - 6 = 2*(x-6) + 14 \n" ); document.write( "3x-19 = 2x-12+14\r \n" ); document.write( "\n" ); document.write( "Solve the above for x and then calculate y = 3x-13. \n" ); document.write( " |