document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101125>Question 101125</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1,3,5,7,9,11,13,15,17,19 these are 10 numbers and there sum is 100 select 5 from these numbers and there sum is 50 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73613 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=73613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I understand your problem correctly, this can't be done.<BR>\n" );
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document.write( "My understanding is that you are given the numbers:<BR>\n" );
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document.write( "1, 3, 5, 7, 9, 11, 13, 15, 17, and 19<BR>\n" );
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document.write( "You are to select 5 of these numbers such that the total of the 5 numbers you select is 50.<BR>\n" );
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document.write( "Notice that all the numbers are odd numbers. When you add two odd numbers together the sum<BR>\n" );
document.write( "is always an even number.  And if you also add four odd numbers together you always get an even <BR>\n" );
document.write( "number for the sum.<BR>\n" );
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document.write( "That means that if you pick four numbers from the above list and add them you will get an<BR>\n" );
document.write( "even number as an answer. Therefore, your fifth number will need to be an even number<BR>\n" );
document.write( "to get to 50. But you have no even numbers to choose from for the fifth number.<BR>\n" );
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document.write( "For example, suppose we choose as our 4 numbers 1, 3, 17, and 19. If we total these <BR>\n" );
document.write( "four numbers we get 40 and 40 is an even number. Therefore, to get to 50, our fifth number<BR>\n" );
document.write( "would have to be and even number, in this case 10, so it is not in the list of numbers we<BR>\n" );
document.write( "have to choose from. You can try any other combination of four numbers from the list. If<BR>\n" );
document.write( "you add them up you will get an even number, and presuming their sum is less than 50,<BR>\n" );
document.write( "you will need to add an even number to that group of four to get a total of 50. But, again,<BR>\n" );
document.write( "you do not have an even number in the list, so you cannot get five numbers from the list<BR>\n" );
document.write( "of odd numbers to total to 50. <BR>\n" );
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document.write( "Hope this helps you to understand why the problem can't be solved.<BR>\n" );
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