document.write( "Question 1146315: The sum of the ages of Kevin and Rebecca is 54 years. 6 years ago, Kevin's age was 2 times Rebecca's age. How old is Kevin now? \n" ); document.write( "
Algebra.Com's Answer #767600 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let k + K's present age \n" ); document.write( "let r + R's age \n" ); document.write( ": \n" ); document.write( "write an equation for each statement \n" ); document.write( ": \n" ); document.write( " The sum of the ages of Kevin and Rebecca is 54 years. \n" ); document.write( "k + r = 54 \n" ); document.write( " 6 years ago, Kevin's age was 2 times Rebecca's age. \n" ); document.write( "k - 6 = 2(r - 6) \n" ); document.write( "k - 6 = 2r - 12 \n" ); document.write( "k = 2r - 12 + 6 \n" ); document.write( "k = 2r - 6 \n" ); document.write( "Rearrange and subtract from the 1st equation \n" ); document.write( "k - 2r = -6 \n" ); document.write( ": \n" ); document.write( "k + r = 54 \n" ); document.write( "k -2r = -6 \n" ); document.write( "---------------Subtraction eliminates k, find r \n" ); document.write( "0 + 3r = 60 \n" ); document.write( "r = 60/3 \n" ); document.write( "r = 20 yr is Rebeccas'age \n" ); document.write( "and \n" ); document.write( "54 - 20 = 34 yrs is Kevin's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the statement \n" ); document.write( "\"6 years ago, Kevin's age was 2 times Rebecca's age.\" \n" ); document.write( "34 - 6 = 2(20-6) \n" ); document.write( "28 = 2(14)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |