document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104241>Question 1104241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a, b, and c are positive integers, find the sum a+b+c if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%5E3%29%2Ab=1375+ ALIGN=MIDDLE  ALT=\"+%28a%5E3%29%2Ab=1375+\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28b%5E3%29%2Ac=3993+ ALIGN=MIDDLE  ALT=\"+%28b%5E3%29%2Ac=3993+\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ac%5E3=135+ ALIGN=MIDDLE  ALT=\"+ac%5E3=135+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718991 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=718991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Probably the easiest place to start is with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac%5E3=135 ALIGN=MIDDLE  ALT=\"ac%5E3=135\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The prime factorization of 135 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=135+=+3%2A3%2A3%2A5 ALIGN=MIDDLE  ALT=\"135+=+3%2A3%2A3%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >; that means a=5 an c=3.<br><BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3b+=+5%5E3%2Ab+=+125b+=+1375 ALIGN=MIDDLE  ALT=\"a%5E3b+=+5%5E3%2Ab+=+125b+=+1375\"   DISABLED_style= \"max-width:90%; height:auto;\" > so b is 11.<br><BR>\n" );
document.write( "Then a+b+c = 5+11+3 = 19. </SPAN>\n" );
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