document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208627>Question 1208627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I give my brother $8$ dollars, then we will have the same amount of money.  If instead he gives me $19$ dollars, then I'll have twice as much money as he will have.  How much money does my brother currently have (in dollars)? </SPAN>\n" );
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document.write( "Answer: <font color=red>$73</font>\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "x = amount of money you start with<BR>\n" );
document.write( "y = amount of money your brother starts with\r<BR>\n" );
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document.write( "Giving your brother $8 will decrease your amount to x-8. <BR>\n" );
document.write( "Meanwhile his amount will increase to y+8.<BR>\n" );
document.write( "At this point the two amounts are equal.<BR>\n" );
document.write( "x-8 = y+8<BR>\n" );
document.write( "x-8-8 = y<BR>\n" );
document.write( "<font color=blue>y = x-16</font><BR>\n" );
document.write( "We'll substitute this into another equation. \r<BR>\n" );
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document.write( "If instead your brother gives you $19, then your amount increases to x+19 and his amount drops to y-19.<BR>\n" );
document.write( "At this point your amount is twice that of his.<BR>\n" );
document.write( "your amount = 2*(his amount)<BR>\n" );
document.write( "x+19 = 2*(y-19)<BR>\n" );
document.write( "x+19 = 2*(<font color=blue>x-16</font>-19) ....... plug in <font color=blue>y = x-16</font><BR>\n" );
document.write( "x+19 = 2*(x-35)<BR>\n" );
document.write( "x+19 = 2x-70<BR>\n" );
document.write( "x-2x = -70-19<BR>\n" );
document.write( "-x = -89<BR>\n" );
document.write( "x = 89 dollars is what you started with.\r<BR>\n" );
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document.write( "y = x-16<BR>\n" );
document.write( "y = 89-16<BR>\n" );
document.write( "y = <font color=red>73 dollars</font> is what your brother started with.\r<BR>\n" );
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document.write( "----------------------------<BR>\n" );
document.write( "Check:\r<BR>\n" );
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document.write( "If you give him $8, then<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">your amount = 89-8 = 81\r\n" );
document.write( "his amount = 73+8 = 81</PRE>Showing you both would end up with the same amount of money ($81)<BR>\n" );
document.write( "This verifies the first condition.\r<BR>\n" );
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document.write( "If he gives you $19, then <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">your amount = 89+19 = 108\r\n" );
document.write( "his amount = 73-19 = 54</PRE>Notice that 108 is twice that of 54<BR>\n" );
document.write( "54*2 = 108<BR>\n" );
document.write( "Both conditions have been verified.<BR>\n" );
document.write( "</font> </SPAN>\n" );
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