document.write( "Question 1023088: Jr is 4 years older than kyle. Two years ago, he was 2 times as old as kyle. What are their present ages? \n" ); document.write( "

Algebra.Com's Answer #638608 by ikleyn(52776) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Jr is 4 years older than kyle. Two years ago, he was 2 times as old as kyle. What are their present ages?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "j = k + 4,        (1)\r\n" );
document.write( "j-2 = 2*(k-2),    (2)\r\n" );
document.write( "\r\n" );
document.write( "where j = Jr's present age, k = Kyle's present age.\r\n" );
document.write( "\r\n" );
document.write( "Simplify (2):\r\n" );
document.write( "\r\n" );
document.write( "j-2 = 2k - 4.\r\n" );
document.write( "\r\n" );
document.write( "Now substitute j = k+4 from (1) into (2). You will get\r\n" );
document.write( "\r\n" );
document.write( "(k+4) - 2 = 2k - 4.\r\n" );
document.write( "\r\n" );
document.write( "Simplify:\r\n" );
document.write( "\r\n" );
document.write( "k + 2 = 2k - 4,\r\n" );
document.write( "6 = 2k - k,\r\n" );
document.write( "k = 6,\r\n" );
document.write( "\r\n" );
document.write( "Thus Kyle's present age is 6 yers.\r\n" );
document.write( "Then Jr's present age is j = k+4 = 6 + 4 = 10, from (1).\r\n" );
document.write( "

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

\n" );