document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103463>Question 1103463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a natural number n is divided by the numbers 95, 112, 214 and 231, they all leave the same remainder. What is n? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718270 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=718270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "As tutor ikleyn showed, the problem as you show it is not very interesting, because it has an infinite number of solutions.<br><BR>\n" );
document.write( "So I'm wondering if, perhaps due to a language difficulty, you stated the problem incorrectly.<br><BR>\n" );
document.write( "I suspect the problem was supposed to say that, when the numbers 95, 112, 214, and 231 are divided by a natural number n, the remainders are all the same.<br><BR>\n" );
document.write( "If that is the case, the problem is much easier to solve.<br><BR>\n" );
document.write( "The differences between any two of the given numbers are all multiples of 17, so the answer would be that n is 17.<br><BR>\n" );
document.write( "That is, the numbers 95, 112, 214, and 231, when divided by 17, all leave the same remainder, 10.<br><BR>\n" );
document.write( "Is that by chance what the problem was supposed to be? </SPAN>\n" );
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