document.write( "Question 835727: Bill is 2 years older than his brother and 5 years younger than his sister. 5 years ago the sum of the ages of Bill and his bbrother was equal to their sister's age then. How old is Bill now \n" ); document.write( "
Algebra.Com's Answer #503820 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let x = Bill's age \n" ); document.write( "Let y = brother's age \n" ); document.write( "let z = sister's age \n" ); document.write( ": \n" ); document.write( "Bill is 2 years older than his brother \n" ); document.write( "x = y + 2 \n" ); document.write( "or \n" ); document.write( "y = (x-2) \n" ); document.write( "and 5 years younger than his sister. \n" ); document.write( "x = z - 5 \n" ); document.write( "or \n" ); document.write( "z = (x+5) \n" ); document.write( ": \n" ); document.write( "5 years ago the sum of the ages of Bill and his brother was equal to their sister's age then. \n" ); document.write( "(x-5) + (y-5) = (z-5) \n" ); document.write( "x + y = z - 5 + 10 \n" ); document.write( "x + y = z + 5 \n" ); document.write( "replace y with (x-2); replace z with (x+5) \n" ); document.write( "x + (x-2) = (x+5) + 5 \n" ); document.write( "2x = x + 5 + 5 + 2 \n" ); document.write( "2x - x = 12 \n" ); document.write( "x = 12 is Bill's age \n" ); document.write( ": \n" ); document.write( ":\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |