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( "First do a little logical analysis to determine that the two of us will have the same amounts if I give him $8 means I start with $16 more than him.  So<br><BR>\n" );
document.write( "x = # of dollars he has to start<BR>\n" );
document.write( "x+16 = # of dollars I start with<br><BR>\n" );
document.write( "If he gives me $19, then<br><BR>\n" );
document.write( "x-19 = # of dollars he will have<BR>\n" );
document.write( "(x+16)+19 = x+35 = # of dollars I will have<br><BR>\n" );
document.write( "In that case, I will have twice as much money as he will:<br><BR>\n" );
document.write( "x+35 = 2(x-19)<BR>\n" );
document.write( "x+35 = 2x-38<BR>\n" );
document.write( "x = 73<br><BR>\n" );
document.write( "ANSWER: He starts with $73<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "I start with x+16 = $89 and he starts with $73<BR>\n" );
document.write( "If I give him $8, I will have $89-$8 = $81 and he will have $73+$8 = $81 -- same amounts<BR>\n" );
document.write( "If he gives me $19, I will have x+35 = $108 and he will have $73-$19 = $54 -- I have twice as much as he has<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );