document.write( "Question 853790: The sum of the present ages of the father and son is 60 years old. 6 years ago, the father is 5 times as old as the son. What are their ages 6 years from now? \n" ); document.write( "

Algebra.Com's Answer #514233 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The sum of the present ages of the father and son is 60 years old.
\n" ); document.write( "

\r\n" );
document.write( "F+S = 60\r\n" );
document.write( "

\n" ); document.write( "6 years ago, the father was 5 times as old as the son.
\n" ); document.write( "

\r\n" );
document.write( "F-6 = 5(S-5)\r\n" );
document.write( "\r\n" );
document.write( "System of equations:\r\n" );
document.write( "\r\n" );
document.write( "F+S = 60\r\n" );
document.write( "F-6 = 5(S-5)\r\n" );
document.write( "\r\n" );
document.write( "Solve the first for F\r\n" );
document.write( "\r\n" );
document.write( "F+S = 60\r\n" );
document.write( "  F = 60-S\r\n" );
document.write( "\r\n" );
document.write( "Substitute (60-S) for F in the second equation:\r\n" );
document.write( "\r\n" );
document.write( "     F-6 = 5(S-5)\r\n" );
document.write( "(60-S)-6 = 5(S-6)\r\n" );
document.write( "\r\n" );
document.write( "Remove parentheses\r\n" );
document.write( "\r\n" );
document.write( " 60-S-6 = 5S-30\r\n" );
document.write( "   54-S = 5S-30\r\n" );
document.write( "     84 = 6S\r\n" );
document.write( "     14 = S\r\n" );
document.write( "\r\n" );
document.write( "Substitute 14 for S in \r\n" );
document.write( "\r\n" );
document.write( "      F = 60-S\r\n" );
document.write( "      F = 60-14\r\n" );
document.write( "      F = 46\r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( "What are their ages 6 years from now?
\n" ); document.write( "

\r\n" );
document.write( "The father if 46.  6 years from now he will be 52.\r\n" );
document.write( "The son is 14.  6 years from now he will be 20.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );