document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066389>Question 1066389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number consists of two digits with a sum of 7 .If the number is increased by 3 it is equal to 11 times the tens digit. Find the number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681556 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a equal the tens digit.\r<BR>\n" );
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document.write( "let b equal the ones digit.\r<BR>\n" );
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document.write( "the sum of the digits is equal to 7.\r<BR>\n" );
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document.write( "you get a + b = 7.\r<BR>\n" );
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document.write( "the number itself is unknown.\r<BR>\n" );
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document.write( "let x equal the number.\r<BR>\n" );
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document.write( "that gets you 10 * a + b = x\r<BR>\n" );
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document.write( "if the number is increased by 3 it is equal to 11 times the tens digit.\r<BR>\n" );
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document.write( "that gets you x + 3 = 11 * a.\r<BR>\n" );
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document.write( "since 10 * a + b = x, replace x with 10 * a + b to get 10 * a + b + 3 = 11 * a.\r<BR>\n" );
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document.write( "solve for a to get a = b + 3.\r<BR>\n" );
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document.write( "since a + b = 7, replace a with b + 3 to get b + 3 + b = 7.\r<BR>\n" );
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document.write( "solve for b to get b = 2\r<BR>\n" );
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document.write( "since a + b = 7, then a must be equal to 5.\r<BR>\n" );
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document.write( "your number has to be 52.\r<BR>\n" );
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document.write( "add 3 to it and you get 55.\r<BR>\n" );
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document.write( "55 / 5 is equal to 11.\r<BR>\n" );
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document.write( "solution looks good.<BR>\n" );
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