document.write( "Question 971661: A girl asks her mother's age and is told, \"Six years ago I was nine times your age. Now I am only three times your age.\" What are the present ages of the girl and her mother? \n" ); document.write( "
Algebra.Com's Answer #594062 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! girl's age now is x \n" ); document.write( "Her mother's age now is 3x\r \n" ); document.write( "\n" ); document.write( "x-6 was her prior age \n" ); document.write( "(x-6)*9 was her mother's age.\r \n" ); document.write( "\n" ); document.write( "The difference in their ages is 2x and always has been.\r \n" ); document.write( "\n" ); document.write( "Therefore, (x-6)*9 - (x-6) =2x \n" ); document.write( "9x-54 -x +6 =2x \n" ); document.write( "6x=48 by collecting terms and moving the constants to the other side.\r \n" ); document.write( "\n" ); document.write( "x=8 \n" ); document.write( "mother is 24\r \n" ); document.write( "\n" ); document.write( "6 years ago, girl was 2 \n" ); document.write( "mother was 18\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |