document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=537080>Question 537080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the ratio of the sum of 2 positive integers to their difference is 7:5. If the sum of the 2 number is at most 25, find all possible values for the pair of numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352720 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=352720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the ratio of the sum of 2 positive integers to their difference is 7:5. If the sum of the 2 number is at most 25, find all possible values for the pair of numbers<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "(x+y)/(x-y) = 7/5<BR>\n" );
document.write( "x + y <=25<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Solve the equality:<BR>\n" );
document.write( "5x+5y=7x-7y<BR>\n" );
document.write( "12y = 2x<BR>\n" );
document.write( "y = x/6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%2F6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "And:<BR>\n" );
document.write( "x+y = 25<BR>\n" );
document.write( "(25)/(x-y) = 7/5<BR>\n" );
document.write( "125 = 7x-7y<BR>\n" );
document.write( "y = x-(125/7)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-30%2C30%2Cx-%28125%2F7%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-30%2C30%2Cx-%28125%2F7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----<BR>\n" );
document.write( "x-y = (125/7)<BR>\n" );
document.write( "x+y = 25<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Add and solve for \"x\":<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2x = 300/7<BR>\n" );
document.write( "x = 150/7<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"y\":<BR>\n" );
document.write( "x+y = 25<BR>\n" );
document.write( "y = 25-(150/7)<BR>\n" );
document.write( "y = 25/7<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equality solution: (150/7 , 25/7)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Inequality solution:<BR>\n" );
document.write( "Since x+y <= 25<BR>\n" );
document.write( "y <= 25-(150/7) <= 25/7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "===========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===========  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );