document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169939>Question 1169939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good day. May you please assist me in the following question:\r<BR>\n" );
document.write( "\n" );
document.write( "Consider the integers x and y. When y is divided by x the remainder is 29. When y is divided by x/2, the remainder is 13. Determine x.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you fro your assistance.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #794789 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=794789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By trial-and-error, x=32.  <br><BR>\n" );
document.write( "One way to come to this answer is to set y to 29.  Then for any x > 29 and x < 58, it is trivial that 29 mod x = 29. So all that is needed is to check 29 mod (x/2) to find the value of x/2 that has remainder 13.  For x=32, we get 29 mod 16 = 13, so the answer x=32 works.     </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );