document.write( "Question 452324: Tom is 5 times as old as Todd. In 8 years toms age will be 4 years more than 3 times as old as Todd. How old is Tom? \n" ); document.write( "
Algebra.Com's Answer #310974 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let x = Tom's age \n" ); document.write( "Let y = Todd's age \n" ); document.write( ": \n" ); document.write( "Tom is 5 times as old as Todd. \n" ); document.write( "x = 5y \n" ); document.write( ": \n" ); document.write( "In 8 years toms age will be 4 years more than 3 times as old as Todd. \n" ); document.write( "x + 8 = 3(y+8) + 4 \n" ); document.write( "x + 8 = 3y + 24 + 4 \n" ); document.write( "x + 8 = 3y + 28 \n" ); document.write( "x = 3y + 28 - 8 \n" ); document.write( "x = 3y + 20 \n" ); document.write( "Replace x with 5y \n" ); document.write( "5y = 3y + 20 \n" ); document.write( "5y - 3y = 20 \n" ); document.write( "2y = 20 \n" ); document.write( "y = \n" ); document.write( "y = 10 yrs is Todd's age \n" ); document.write( "then \n" ); document.write( "5(10) = 50 is Tom's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the statement: \n" ); document.write( "\"n 8 years toms age will be 4 years more than 3 times as old as Todd.\" \n" ); document.write( "50 + 8 = 3(10 + 8) + 4 \n" ); document.write( "58 = 3(18)) + 4 \n" ); document.write( "58 = 54 + 4; confirms our solutions\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |