document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901220>Question 901220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 23. If the product of the two numbers must be greater than 76, what pairs of numbers satisfy the conditions if both numbers are integers?<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 #546573 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=546573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A + B = 23<BR>\n" );
document.write( "A * B > 76<BR>\n" );
document.write( "Let's look at possible pairs that satisfy the first equation, and then whether they satisfy the second.<BR>\n" );
document.write( "{23,0} = 23*0=0<BR>\n" );
document.write( "{22,1} = 22*1=22<BR>\n" );
document.write( "{21,2} = 21*2=42<BR>\n" );
document.write( "{20,3} = 20*3=60<BR>\n" );
document.write( "{19,4} = 19*4=76 [don't let this trick you because it's GREATER THAN 76]<BR>\n" );
document.write( "{18,5} = 18*5 =<b>90</b><BR>\n" );
document.write( "{17,6} = 17*6 = <b>102</b><BR>\n" );
document.write( "{16,7} = 16*7 = <b>112</b><BR>\n" );
document.write( "{15,8} = 15*8 = <b>120</b><BR>\n" );
document.write( "{14,9} = 14*9 = <b>126</b><BR>\n" );
document.write( "{13,10} = 13*10 = <b>130</b><BR>\n" );
document.write( "{12,11} = 12*11 = <b>132</b><br><BR>\n" );
document.write( "The pairs with numbers reversed also satisfy the equation.  {11,12} rather than {12,11}\r<BR>\n" );
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