document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105083>Question 1105083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sam’s younger brother was half Sam’s age when Sam was half the age of his older brother. 7 years later, Sam’s younger brother was 2/3 Sam’s age and 2/5 the age of Sam’s older brother. How old is Sam now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719832 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=719832\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A = sam's younger brother's age now.<BR>\n" );
document.write( "B = sam's age now.<BR>\n" );
document.write( "C = sam's older brother's age now.\r<BR>\n" );
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document.write( "A = 1/2 * B<BR>\n" );
document.write( "B = 1/2 * C\r<BR>\n" );
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document.write( "A + 7 = 2/3 * (B + 7)<BR>\n" );
document.write( "A + 7 = 2/5 * (C + 7)\r<BR>\n" );
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document.write( "replace A with 1/2 * B in the equation of A + 7 = 2/3 * (B + 7).\r<BR>\n" );
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document.write( "you will get 1/2 * B + 7 = 2/3 * (B + 7).\r<BR>\n" );
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document.write( "simplify to get 1/2 * B + 7 = 2/3 * B + 2/3 * 7.\r<BR>\n" );
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document.write( "multiply both sides of this equation by 6 to get 3 * B + 42 = 4 * B + 28.\r<BR>\n" );
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document.write( "subtract 3 * B from both sides of this equation and subtract 28 from both sides of this equation to get 42 - 28 = 4 * B - 3 * B.\r<BR>\n" );
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document.write( "combine like terms to get 14 = B.\r<BR>\n" );
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document.write( "since A = 1/2 * B, then A = 7<BR>\n" );
document.write( "since B = 1/2 * C, then C = 28\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "A = 7<BR>\n" );
document.write( "B = 14<BR>\n" );
document.write( "C = 28\r<BR>\n" );
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document.write( "you also have:\r<BR>\n" );
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document.write( "A + 7 = 14<BR>\n" );
document.write( "B + 7 = 21<BR>\n" );
document.write( "C + 7 = 35\r<BR>\n" );
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document.write( "A = 1/2 * B becomes 7 = 1/2 * 14 which is true.<BR>\n" );
document.write( "B = 1/2 * C becomes 14 = 1/2 * 28 which is true.<BR>\n" );
document.write( "A + 7 = 2/3 * (B + 7) becomes 14 = 1/3 * 21 which is true.<BR>\n" );
document.write( "A + 7 = 2/5 * (C + 7) becomes 14 = 2/5 * 35 which is true.\r<BR>\n" );
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document.write( "the solution is confirmed to be good.\r<BR>\n" );
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document.write( "since B = sam's age now, the solution is that sam's age now is 14.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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