document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097900>Question 1097900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Andrew has more money than Ben, if Andrew gave Ben £20, they would have the same amount, while if Ben gave Andrew £22, Andrew would have then have twice as much as Ben.\r<BR>\n" );
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document.write( "So, new working<BR>\n" );
document.write( "A-20 = B+20<BR>\n" );
document.write( "B-22 =2A +22<BR>\n" );
document.write( "Solve for one, substitute new value into other equation. I \"solved\" equation 2, and got:<BR>\n" );
document.write( "B=2A+44<BR>\n" );
document.write( "substituting it into equation 1:<BR>\n" );
document.write( "A-20=2A+44+20<BR>\n" );
document.write( "A=2A+84<BR>\n" );
document.write( "A=84<BR>\n" );
document.write( "I ended up with a result of 84 (wrong) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712299 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=712299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "the problem states:\r<BR>\n" );
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document.write( "Andrew has more money than Ben, if Andrew gave Ben £20, they would have the same amount, while if Ben gave Andrew £22, Andrew would have then have twice as much as Ben. \r<BR>\n" );
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document.write( "Andrew has more money than Ben leads to:\r<BR>\n" );
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document.write( "A > B.\r<BR>\n" );
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document.write( "if Andrew gave Ben 20, they would have the same amount leads to:\r<BR>\n" );
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document.write( "A - 20 = B + 20\r<BR>\n" );
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document.write( "if Ben gave Andrew 22, Andrew would have twice as much as Ben leads to:\r<BR>\n" );
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document.write( "A + 22 = 2 * (B - 22).\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "A - 20 = B + 20<BR>\n" );
document.write( "A + 22 = 2 * (B - 22)\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "A - 20 = B + 20<BR>\n" );
document.write( "A + 22 = 2B - 44\r<BR>\n" );
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document.write( "get all the A's and B's on the same side of the equation and you get:\r<BR>\n" );
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document.write( "A - B = 40<BR>\n" );
document.write( "A - 2B = -66\r<BR>\n" );
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document.write( "subtract the second equation from the first and you get:\r<BR>\n" );
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document.write( "B = 106\r<BR>\n" );
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document.write( "use either of the first two original equations to find the value of A.\r<BR>\n" );
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document.write( "i used the second one.\r<BR>\n" );
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document.write( "A + 22 = 2 * (B - 22)<BR>\n" );
document.write( "when B = 106, this becomes A + 22 = 2 * (106 - 22).<BR>\n" );
document.write( "subtract 22 from both side and simplify to get A = 146.\r<BR>\n" );
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document.write( "you have A = 146 and B = 106\r<BR>\n" );
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document.write( "evaluate both original equations to see if they hold true with these values for A and B.\r<BR>\n" );
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document.write( "A - 20 = B + 20 becomes 146 - 20 = B + 20 which becomes 126 = 146 which is true.\r<BR>\n" );
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document.write( "A + 22 = 2 * (B - 22) becomes 146 + 22 = 2 * (106 - 22) which becomes 168 = 2 * (84) which becomes 168 = 168 which is true.\r<BR>\n" );
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document.write( "the values for A and B are good.\r<BR>\n" );
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document.write( "your solution is that A = 146 and B = 106.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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