document.write( "Question 1091102: My homework says \"Stan says 'My niece Fran is currently 1/3 of my age. But in 12 years, she will be 1/2 of my age.' How old is Stan NOW?\" \n" ); document.write( "

Algebra.Com's Answer #705522 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let's translate your homework to equations.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "First equation is \r\n" );
document.write( "\r\n" );
document.write( "F = ,  or, which is the same,  3F = S.    (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Second equation is\r\n" );
document.write( "\r\n" );
document.write( "F + 12 = ,  which is the same as  2*(F+12) = S + 12.    (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "At this moment you must make an effort and get understanding what is F+12 at the left side, and what is S+12 at the right side.\r\n" );
document.write( "As soon as you understand it, you will easily solve ANY age word problem.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, from the condition, you have this system of two equations\r\n" );
document.write( "\r\n" );
document.write( "3F = S,              (1)   and\r\n" );
document.write( "2*(F+12) = S + 12.   (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify (2)\r\n" );
document.write( "\r\n" );
document.write( "2F + 24 = S + 12\r\n" );
document.write( "\r\n" );
document.write( "and substitute  3F instead of S into this equation, based on (1). You will get a single equation for F:\r\n" );
document.write( "\r\n" );
document.write( "2F + 24 = 3F + 12  ====>  F = 24 - 12 = 12.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Answer. Fran is 12 years old. Stan is 3*12 = 36 years old.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There is a bunch of lessons on age word problems \r
\n" ); document.write( "\n" ); document.write( "    - Age problems and their solutions\r
\n" ); document.write( "\n" ); document.write( "    - A fresh formulation of a traditional age problem\r
\n" ); document.write( "\n" ); document.write( "    - Really intricate age word problem\r
\n" ); document.write( "\n" ); document.write( "    - Selected age word problems from the archive\r
\n" ); document.write( "\n" ); document.write( "    - Age problems for mental solution \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solving age problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Age word problems\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );