document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894058>Question 894058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the product of two 2 digit number is 2117. The product of their units digit is 27 and that of tens digits 14. find the number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541723 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=541723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the ways that digits will give products of 27 and 14.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A9=27 ALIGN=MIDDLE  ALT=\"3%2A9=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A7=14 ALIGN=MIDDLE  ALT=\"2%2A7=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The units digits are 3 and 9, and the tens digits are 2 and 7; but we do not yet know<BR>\n" );
document.write( "for sure which way they go in the two numbers.\r<BR>\n" );
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document.write( "There are no more than TWO combinations to check.<BR>\n" );
document.write( "You want the product of the two numbers to be 2117.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2A79=2117 ALIGN=MIDDLE  ALT=\"23%2A79=2117\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "No.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2A79=1817 ALIGN=MIDDLE  ALT=\"23%2A79=1817\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29%2A73-2117 ALIGN=MIDDLE  ALT=\"29%2A73-2117\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "Yes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29%2A73=2117 ALIGN=MIDDLE  ALT=\"29%2A73=2117\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<b>The two two-digit numbers are 29 and 73.</b>\r<BR>\n" );
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document.write( "I earlier tried the problem using variables and algebra but found an unresolvable system<BR>\n" );
document.write( "of equations.\r<BR>\n" );
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