document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=680730>Question 680730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number 150 was written as the sum of two numbers. The first number was divided by 27. This quotient was added to the second number divided by 23, and the total was 6. What were the two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422480 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=422480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number 150 was written as the sum of two numbers.<BR>\n" );
document.write( "x + y = 150<BR>\n" );
document.write( "y = (150-x)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The first number was divided by 27. <BR>\n" );
document.write( "This quotient was added to the second number divided by 23, and the total was 6.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F27 ALIGN=MIDDLE  ALT=\"x%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F23 ALIGN=MIDDLE  ALT=\"y%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6<BR>\n" );
document.write( "multiply by 23*27 = 621, to clear the denominators, results<BR>\n" );
document.write( "23x + 27y = 621(6)<BR>\n" );
document.write( "23x + 27y = 3726<BR>\n" );
document.write( "Replace y with (150-x)<BR>\n" );
document.write( "23x + 27(150-x) = 3726<BR>\n" );
document.write( "23x + 4050 - 27x = 3726<BR>\n" );
document.write( "23x - 27x = 3626 - 4050<BR>\n" );
document.write( "-4x = -324<BR>\n" );
document.write( " x = +81<BR>\n" );
document.write( "then<BR>\n" );
document.write( " y = 150 - 81<BR>\n" );
document.write( " y = 69<BR>\n" );
document.write( ":<BR>\n" );
document.write( "What were the two numbers? 81, 69<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2F27 ALIGN=MIDDLE  ALT=\"81%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69%2F23 ALIGN=MIDDLE  ALT=\"69%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6 </SPAN>\n" );
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