document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176031>Question 176031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the following addition problem, Y, O, and U are different digits.  Solve the following problem:\r<BR>\n" );
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document.write( "YOU + YOU + YOU = UUU </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131157 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First of all, Y cannot be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > because it is<BR>\n" );
document.write( "a leading digit, and U cannot be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > because<BR>\n" );
document.write( "That would make the sum <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=000 ALIGN=MIDDLE  ALT=\"000\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which it can't be<BR>\n" );
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document.write( "So, Y and U must be one of the digits 1-9<BR>\n" );
document.write( "Also, UUU must be less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=999 ALIGN=MIDDLE  ALT=\"999\"   DISABLED_style= \"max-width:90%; height:auto;\" > since one<BR>\n" );
document.write( "more would be 4 digits, not 3.<BR>\n" );
document.write( "If UUU is less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=999 ALIGN=MIDDLE  ALT=\"999\"   DISABLED_style= \"max-width:90%; height:auto;\" >, that means<BR>\n" );
document.write( "3 x YOU must be less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=333 ALIGN=MIDDLE  ALT=\"333\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It can't be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=333 ALIGN=MIDDLE  ALT=\"333\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because each digit must be different<BR>\n" );
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document.write( "When I add up the units column which is U + U + U,<BR>\n" );
document.write( "I still get U in the sum, UUU, but I must have a<BR>\n" );
document.write( "carry which would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" > up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "First I'll say the carry is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "U + U + U = U + 10<BR>\n" );
document.write( "3U = U + 10<BR>\n" );
document.write( "2U = 10<BR>\n" );
document.write( "U = 5 and<BR>\n" );
document.write( "UUU = 555<BR>\n" );
document.write( "Now I'll say the carry is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "U + U + U = U + 20<BR>\n" );
document.write( "3U = U + 20<BR>\n" );
document.write( "2U = 20<BR>\n" );
document.write( "U = 10<BR>\n" );
document.write( "This is 2 digits, and it needs to be 1<BR>\n" );
document.write( "Also, any higher carrys, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" >, etc<BR>\n" );
document.write( "would also be 2 digits<BR>\n" );
document.write( "So, U = 5 and the carry is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I have 3 x YO5 = 555<BR>\n" );
document.write( "I'll divide both sides by 3<BR>\n" );
document.write( "YO5 = 555/3<BR>\n" );
document.write( "YOU = 185<BR>\n" );
document.write( "185 + 185 + 185 = 555 answer  </SPAN>\n" );
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