document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335905>Question 335905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If one-half the smaller of number is increased by one-third the larger number, the result os 2. If one-third the snakker number increased by one-ninth the larger number, the result is 1. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #240969 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=240969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the smaller number<BR>\n" );
document.write( "Let y = the larger number<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
document.write( "\"If one-half the smaller of number is increased by one-third the larger number, the result is 2.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <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;\" >y = 2<BR>\n" );
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document.write( "\"If one-third the smaller number increased by one-ninth the larger number, the result is 1.\"<BR>\n" );
document.write( "<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;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >y = 1<BR>\n" );
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document.write( "Multiply the 1st equation by 6, multiply the 2nd equation by 18<BR>\n" );
document.write( "Subtract the 1st resulting equation from the 2nd resulting equation<BR>\n" );
document.write( "6x + 2y = 18<BR>\n" );
document.write( "3x + 2y = 12<BR>\n" );
document.write( "----------------subtracting eliminates y, find x<BR>\n" );
document.write( "3x = 6<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "Find y using the equation 6x + 2y = 18<BR>\n" );
document.write( "6(2) + 2y = 18<BR>\n" );
document.write( "2y = 18 - 12<BR>\n" );
document.write( "2y = 6<BR>\n" );
document.write( "y = 3<BR>\n" );
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document.write( "Check solutions in the 1st original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(2) + <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;\" >(3) = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2 ALIGN=MIDDLE  ALT=\"2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F3 ALIGN=MIDDLE  ALT=\"3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2; confirms our solutions </SPAN>\n" );
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