document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711994>Question 711994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the product of two numbers is 56 and the sum is 15,what are the two numbers?\r<BR>\n" );
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document.write( "this is a fifth grade question though. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437695 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=437695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the product of two numbers is 56 and the sum is 15,what are the two numbers? <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "xy = 56<BR>\n" );
document.write( "x + y = 15<BR>\n" );
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document.write( "I would guess that a 5th grader would ask him or herself<BR>\n" );
document.write( "what numbers give 56 when they are multiplied.  <BR>\n" );
document.write( "That would be 1/56 ; 2/28 ; 4/14 ; 7/8<BR>\n" );
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document.write( "Only 7/8 add up to 15.<BR>\n" );
document.write( "So x = 7 and y = 8 or x = 8 and y = 7<BR>\n" );
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document.write( "If the problem is done with algebra it looks like the following:<BR>\n" );
document.write( "x = 15-x<BR>\n" );
document.write( "Substitute for \"x\" and solve for \"y\":<BR>\n" );
document.write( "(15-x)x = 56<BR>\n" );
document.write( "15x - x^2 = 56<BR>\n" );
document.write( "x^2 - 15x + 56 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-7)(x-8) = 0<BR>\n" );
document.write( "x = 7 or x = 8<BR>\n" );
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document.write( "If x = 7, y = 8<BR>\n" );
document.write( "If x = 8, y = 7<BR>\n" );
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document.write( "Maybe your 5th grader knows that much algebra.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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