document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262678>Question 262678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When 100 is divided by some positive integer x, the remainder is 10. What is the sum of the smallest and largest values of x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193482 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=193482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x is the divisor<BR>\n" );
document.write( "y is the result<BR>\n" );
document.write( "r is the remainder\r<BR>\n" );
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document.write( "if the remainder is always 10, then the number of 100 - 10 = 90 must be divisible without a remainder.\r<BR>\n" );
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document.write( "our equation becomes:\r<BR>\n" );
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document.write( "90/x = y with no remainder.\r<BR>\n" );
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document.write( "multiply both sides of this equation by x to get:\r<BR>\n" );
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document.write( "90 = x*y\r<BR>\n" );
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document.write( "find all the factors of x and you will be able to find the anser.\r<BR>\n" );
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document.write( "90 equals:<BR>\n" );
document.write( "1*90<BR>\n" );
document.write( "2*45<BR>\n" );
document.write( "3*30<BR>\n" );
document.write( "6*15<BR>\n" );
document.write( "9*10\r<BR>\n" );
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document.write( "now take these factors and divide them into 100.\r<BR>\n" );
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document.write( "100/1 = 100 with no remainder<BR>\n" );
document.write( "100/90 = 1 with a remainder of 10<BR>\n" );
document.write( "100/2 = 50 with no remainder<BR>\n" );
document.write( "100/45 = 2 with a remainder of 10<BR>\n" );
document.write( "100/3 = 33 with a remainder of 1<BR>\n" );
document.write( "100/30 = 3 with a remainder of 10<BR>\n" );
document.write( "100/6 = 16 with a remainder of 4<BR>\n" );
document.write( "100/15 = 6 with a remainder of 10<BR>\n" );
document.write( "100/9 = 11 with a remainder of 1<BR>\n" );
document.write( "100/10 = 10 with a remainder of 0.\r<BR>\n" );
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document.write( "narrow it down to all those with a remainder of 10 and you get:\r<BR>\n" );
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document.write( "100/90<BR>\n" );
document.write( "100/45<BR>\n" );
document.write( "100/30<BR>\n" );
document.write( "100/15\r<BR>\n" );
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document.write( "the divisor had to be greater than 10.\r<BR>\n" );
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document.write( "the smallest divisor is 15.\r<BR>\n" );
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document.write( "the largest divisor is 90.\r<BR>\n" );
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document.write( "your answer is:\r<BR>\n" );
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document.write( "the sum of the smallest and the largest divisor is 90 + 15 = 105.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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