document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=693762>Question 693762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits is 7. when the digits are interchanged, and the resulting number is subtracted from the original one, the difference is 45. what are the digits? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427538 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10858)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=427538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits is 7. when the digits are interchanged, and the resulting number is subtracted from the original one, the difference is 45. what are the digits?\r<BR>\n" );
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document.write( "Let the tens and units digits be T and U, respectively\r<BR>\n" );
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document.write( "Then: T + U = 7 ----- eq (i)\r<BR>\n" );
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document.write( "Original number = 10T + U, and interchanged number = 10U + T\r<BR>\n" );
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document.write( "Therefore, 10T + U - (10U + T) = 45 ---- 10T + U - 10U - T = 45 --- 9T - 9U = 45 ---- 9(T - U) = 9(5) ---- T - U = 5 ----  eq (ii)\r<BR>\n" );
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document.write( "T + U = 7 -----  eq (i)<BR>\n" );
document.write( "T - U = 5 -----  eq (ii)<BR>\n" );
document.write( "2T = 12 ----- Adding eqs (ii) & (i)<BR>\n" );
document.write( "T, or tens digit = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F2 ALIGN=MIDDLE  ALT=\"12%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%286%29 ALIGN=MIDDLE  ALT=\"highlight_green%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "6 + U = 7 ------ Substituting 6 for T in eq (i)<BR>\n" );
document.write( "U, or units digit = 7 - 6, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%281%29 ALIGN=MIDDLE  ALT=\"highlight_green%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can do the check!!\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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