document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=695813>Question 695813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sums of the digits of a two digit number is 14. If 4 is added to the number, the result is seven times the units digit. find the number? \r<BR>\n" );
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document.write( "I have tried solving this problem like 15 times and i still have't come up with the correct answer please help me understand how to do this problem and how to write the equation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428729 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let t = the ten's digit<BR>\n" );
document.write( "let u = the units<BR>\n" );
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document.write( "10t + u = \"the number\"<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"The sums of the digits of a two digit number is 14.\"<BR>\n" );
document.write( "t + u = 14<BR>\n" );
document.write( "u = (14-t); we can use this form for substitution<BR>\n" );
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document.write( "\"If 4 is added to the number, the result is seven times the units digit.\"<BR>\n" );
document.write( "(10t+u) + 4 = 7u<BR>\n" );
document.write( "10t + 4 = 7u - u<BR>\n" );
document.write( "10t + 4 = 6u<BR>\n" );
document.write( "replace u with (14-u) from the 1st statement equation<BR>\n" );
document.write( "10t + 4 = 6(14-t)<BR>\n" );
document.write( "10t + 4 = 84 - 6t<BR>\n" );
document.write( "10t + 6t = 84 - 4<BR>\n" );
document.write( "16t = 80<BR>\n" );
document.write( "t = 80/16<BR>\n" );
document.write( "t = 5 is the 10's digit<BR>\n" );
document.write( "then<BR>\n" );
document.write( "14 - 5 = 9 is the units<BR>\n" );
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document.write( "59 is the number<BR>\n" );
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document.write( "Confirm this in the 2nd statement;<BR>\n" );
document.write( "\"If 4 is added to the number, the result is seven times the units digit.\"<BR>\n" );
document.write( "4 + 59 = 7(9)<BR>\n" );
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document.write( "Was this understandable for you?\r<BR>\n" );
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