document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=409475>Question 409475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i am a 4 digit number the ratio of my first digit to my second digit is 3 to 1 the ratio of my thrid digit to my last digit is 1 to 3 the ratio of my first digit to my last is 2 to 3 if all my diit add up to 20 what number am i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288346 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=288346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each statement:<BR>\n" );
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document.write( "i am a 4 digit number <BR>\n" );
document.write( "a, b, c, d<BR>\n" );
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document.write( "the ratio of my first digit to my second digit is 3 to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F1 ALIGN=MIDDLE  ALT=\"3%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "a = 3b<BR>\n" );
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document.write( "the ratio of my third digit to my last digit is 1 to 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fd ALIGN=MIDDLE  ALT=\"c%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 3c<BR>\n" );
document.write( ":<BR>\n" );
document.write( "the ratio of my first digit to my last is 2 to 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fd ALIGN=MIDDLE  ALT=\"a%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2d = 3a<BR>\n" );
document.write( "3a - 2d = 0; we will use this later in elimination.<BR>\n" );
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document.write( " all my digits add up to 20, what number?<BR>\n" );
document.write( "a + b + c + d = 20 <BR>\n" );
document.write( "replace a with 3b, and replace d with 3c<BR>\n" );
document.write( "3b + b + c + 3c = 20<BR>\n" );
document.write( "4b + 4c = 20<BR>\n" );
document.write( "Divide by 4<BR>\n" );
document.write( "b + c = 5<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( " a + d = 20 - 5<BR>\n" );
document.write( " a + d = 15<BR>\n" );
document.write( "Use eliminations multiply the above by 2, add to this equation<BR>\n" );
document.write( "3a - 2d = 0<BR>\n" );
document.write( "2a + 2d = 30<BR>\n" );
document.write( "--------------adding eliminates d, finda<BR>\n" );
document.write( "5a = 30<BR>\n" );
document.write( "a = 30/5<BR>\n" );
document.write( "a = 6<BR>\n" );
document.write( "then<BR>\n" );
document.write( "6 + d = 15<BR>\n" );
document.write( "d = 9<BR>\n" );
document.write( "and<BR>\n" );
document.write( "d = 3c<BR>\n" );
document.write( "9 = 3c<BR>\n" );
document.write( "c = 3<BR>\n" );
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document.write( "Find b:<BR>\n" );
document.write( "b = 20 - 6 - 3 - 9 <BR>\n" );
document.write( "b = 2<BR>\n" );
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document.write( "The number 6239\r<BR>\n" );
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