document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168974>Question 1168974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two numbers is 45 and their quotient is 500 what are the two numbers<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793612 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=793612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let x and y be the two unknown numbers. Let's make x smaller than y, meaning x < y.\r<BR>\n" );
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document.write( "The sum of two numbers is 45 tells us: x+y = 45\r<BR>\n" );
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document.write( "Their quotient is 500 means: y/x = 500<BR>\n" );
document.write( "We wouldn't say x/y = 500 because the larger number should go on top (so the quotient is larger than 1).\r<BR>\n" );
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document.write( "Solve for y in the equation y/x = 500 to get y = 500x. You multiply both sides by x to isolate y.\r<BR>\n" );
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document.write( "Since y = 500x, we can replace y in the first equation with 500x and solve for x\r<BR>\n" );
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document.write( "x+y = 45<BR>\n" );
document.write( "x+500x = 45<BR>\n" );
document.write( "1x+500x = 45<BR>\n" );
document.write( "501x = 45<BR>\n" );
document.write( "x = 45/501 <BR>\n" );
document.write( "x = (15*3)/(167*3)<BR>\n" );
document.write( "x = 15/167 is one of the numbers\r<BR>\n" );
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document.write( "Use this to find the value of y<BR>\n" );
document.write( "y = 500x<BR>\n" );
document.write( "y = 500*(15/167)<BR>\n" );
document.write( "y = (500/1)*(15/167)<BR>\n" );
document.write( "y = (500*15)/(1*167)<BR>\n" );
document.write( "y = 7500/167 is the other number\r<BR>\n" );
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document.write( "The two numbers are therefore 15/167 and 7500/167\r<BR>\n" );
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document.write( "Use a calculator to find that<BR>\n" );
document.write( "15/167 = 0.08982035928143<BR>\n" );
document.write( "7500/167 = 44.9101796407186<BR>\n" );
document.write( "both decimal values are approximate.<BR>\n" );
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