document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295158>Question 295158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've been trying to get the answer, but it keeps coming out wrong. The question is \"The sum of three numbers is 25. The sum of the first two numbers is 17 less than the third. The third number is 6 more than the second. Find the sum of the second and third numbers.\" It's a multiple choice answer. (a)4 ,(b)10 ,(c)36 ,(d)15 , and (e)21. The point I'm trying to get across is that the teacher told us the answer, and he said it was (c)36, but I disagree, for the sum of three numbers is 25, so how could two numbers equal 36?\r<BR>\n" );
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document.write( "I've only managed to get this down:<BR>\n" );
document.write( "    a+b+c=25 ; a+b=c-17; c=b+6.\r<BR>\n" );
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document.write( "Unfortunately, I do not know where else to go from there, and I would really appreciate your help. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212752 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=212752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"The sum of three numbers is 25. The sum of the first two numbers is 17 less than the third. The third number is 6 more than the second. Find the sum of the second and third numbers.\" It's a multiple choice answer. (a)4 ,(b)10 ,(c)36 ,(d)15 , and (e)21. The point I'm trying to get across is that the teacher told us the answer, and he said it was (c)36, but I disagree, for the sum of three numbers is 25, so how could two numbers equal 36?\r<BR>\n" );
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document.write( "let thenumbers be x. y , z\r<BR>\n" );
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document.write( "x+y+z=25<BR>\n" );
document.write( "x+y+17= z<BR>\n" );
document.write( "z=y+6\r<BR>\n" );
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document.write( "x+y+z=17--------------- equation 1<BR>\n" );
document.write( "x+y-z=-17--------------  equation 2<BR>\n" );
document.write( "z-y=6------------------  equation 3\r<BR>\n" );
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document.write( "add equation 2 and equation 3\r<BR>\n" );
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document.write( "x+y-z +z-y=-17+6\r<BR>\n" );
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document.write( "x=-9\r<BR>\n" );
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document.write( "Plug the value of x in equation 1 and equation 2 \r<BR>\n" );
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document.write( "-9+y+z=17\r<BR>\n" );
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document.write( "-9+y-z=-17\r<BR>\n" );
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document.write( "Add these two equations\r<BR>\n" );
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document.write( "-18+2y==0<BR>\n" );
document.write( "2y=18<BR>\n" );
document.write( "y=9\r<BR>\n" );
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document.write( "plug the values of x and y in equation1\r<BR>\n" );
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document.write( "-9+9+z=25\r<BR>\n" );
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document.write( "z=25\r<BR>\n" );
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document.write( "x=-9 , y=+9  , z=25\r<BR>\n" );
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document.write( "y+z=36.\r<BR>\n" );
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document.write( "In your argument you have to remember that there can be negative numbers.\r<BR>\n" );
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document.write( "Have fun\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );