document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252900>Question 252900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When n is divided by 5, the remainder is 4. When n is divided by 4, the remainder is 3.  If  0 <  n  < 100, what is one possible value of n ? <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 #185006 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=185006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When n is divided by 5, the remainder is 4. When n is divided by 4, the remainder is 3.  If  0 <  n  < 100, what is one possible value of n ? \r<BR>\n" );
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document.write( "n/5 = x + 4/5<BR>\n" );
document.write( "n/4 = y + 3/4\r<BR>\n" );
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document.write( "multiply first equation by 5 to get:\r<BR>\n" );
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document.write( "n = 5x + 4\r<BR>\n" );
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document.write( "multiply second equation by 4 to get:\r<BR>\n" );
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document.write( "n = 4y + 3\r<BR>\n" );
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document.write( "your 2 equations become:\r<BR>\n" );
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document.write( "n = 5x + 4<BR>\n" );
document.write( "n = 4y + 3\r<BR>\n" );
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document.write( "since both expressions equal to n, then they are equal to each other so you get:\r<BR>\n" );
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document.write( "5x + 4 = 4y + 3\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = (4y-1)/5\r<BR>\n" );
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document.write( "if y = 1, then x = 3/5.\r<BR>\n" );
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document.write( "the assumption is that you want a whole number (integer) so this answer is not good.\r<BR>\n" );
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document.write( "if the numerator was 15, then you would get 15/5 = 3.\r<BR>\n" );
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document.write( "set your numerator equal to 15 and solve for y to get:\r<BR>\n" );
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document.write( "4y - 1 = 15<BR>\n" );
document.write( "add 1 to both sides to get 4y = 16<BR>\n" );
document.write( "divide both sides by 4 to get y = 4\r<BR>\n" );
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document.write( "if y = 4, then x = 15/5 = 3 which should satisfy the equation.\r<BR>\n" );
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document.write( "you get x = 3 and y = 4.\r<BR>\n" );
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document.write( "your two original equations were:\r<BR>\n" );
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document.write( "n/5 = x + 4/5<BR>\n" );
document.write( "n/4 = y + 3/4\r<BR>\n" );
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document.write( "substitute 3 for x and 4 for y to get:\r<BR>\n" );
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document.write( "n/5 = 3 + 4/5<BR>\n" );
document.write( "n/4 = 4 + 3/4\r<BR>\n" );
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document.write( "multiply first equation by 5 and second equation by 4 to get:\r<BR>\n" );
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document.write( "n = 5*3 + 4<BR>\n" );
document.write( "n = 4*4 + 3\r<BR>\n" );
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document.write( "solve for n to get:\r<BR>\n" );
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document.write( "n = 19<BR>\n" );
document.write( "n = 19\r<BR>\n" );
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document.write( "one of your possible values for n = 19.\r<BR>\n" );
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document.write( "19/5 = 3 with a remainder of 4.<BR>\n" );
document.write( "19/4 = 4 with a remainder of 3.\r<BR>\n" );
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