document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121866>Question 121866</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395352495/algebrahomeworkh>Algebra: structure and method: Book 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 40. If twice the larger number is divided by the smaller, the quotient is 3 and the reminder is 10. Find the number. I NEED HELP. PLEASE!!!! The answer is 26 or 14, but I do not know how to get there. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89486 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=89486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We will go thru this step-by-step<BR>\n" );
document.write( "Let x = the larger number<BR>\n" );
document.write( "Let y = the smaller number<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
document.write( "\"The sum of two numbers is 40.\"<BR>\n" );
document.write( "  x + y = 40<BR>\n" );
document.write( "or we can say:<BR>\n" );
document.write( "  x = (40-y); use for substitution<BR>\n" );
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document.write( "\" If twice the larger number is divided by the smaller, the quotient is 3 and the reminder is 10.\"<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If we think about long division, we can say that if we subtract 10 from 2x and<BR>\n" );
document.write( "divide by y, the quotient will be an even 3, write the equation like that;\r<BR>\n" );
document.write( "\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-10%29%2Fy ALIGN=MIDDLE  ALT=\"%282x-10%29%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "multiply both sides by y<BR>\n" );
document.write( "2x - 10 = 3y<BR>\n" );
document.write( "2x = 3y + 10<BR>\n" );
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document.write( "Find the number.<BR>\n" );
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document.write( "Substitute (40-y) for x in the above equation and find y<BR>\n" );
document.write( "2(40-y) = 3y + 10<BR>\n" );
document.write( "80 - 2y = 3y + 10<BR>\n" );
document.write( "80 - 10 = 3y + 2y<BR>\n" );
document.write( "70 = 5y<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F5 ALIGN=MIDDLE  ALT=\"70%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 14 is the smaller number<BR>\n" );
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document.write( "The larger number (x)<BR>\n" );
document.write( "40 - 14 = 26 is the larger number </SPAN>\n" );
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