document.write( "Question 1110164: Janet is three years younger than Rebecca. Eight years ago, Janet was half Rebecca's age. How old is each girl now? \n" ); document.write( "

Algebra.Com's Answer #725149 by ikleyn(52788) $\"\"$ $\"About$

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

\r\n" );
document.write( "J = R - 3          (1)    (\"Janet is three years younger than Rebecca.\".)\r\n" );
document.write( "J-8 = 0.5*(R-8)    (2)    (\"8 years ago . . . \")\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute eq(1) into eq(2). You will get\r\n" );
document.write( "\r\n" );
document.write( "(R-3) - 8 = 0.5*(R-8)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "R-11 = 0.5*(R-8)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply it by 2 (both sides)\r\n" );
document.write( "\r\n" );
document.write( "2R - 22 = R - 8\r\n" );
document.write( "\r\n" );
document.write( "2R - R = 22 - 8 = 14  ====>  R = 14.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  Rebecca is 14 years old.  Janet is  R-3 = 14-3 = 11 years old.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "--------------
\n" ); document.write( "On age word problems, see the lessons \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( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );