document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140726>Question 1140726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between the digits of a two-digit number is 1. The number itself is 1 more than 5 times the sum of its digits. If the units digit is greater than the tens digit, find the number </SPAN>\n" );
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document.write( "(1) Using logical reasoning....<br><BR>\n" );
document.write( "The number is 1 more than 5 times the sum of its digits.<BR>\n" );
document.write( "That means the last digit of the number (the units digit) is either 1 or 6.<BR>\n" );
document.write( "Since the units digit is 1 more than the tens digit, the units digit can't be 1.<BR>\n" );
document.write( "So the units digit is 6; that means the tens digit is 5.<br><BR>\n" );
document.write( "ANSWER: 56<br><BR>\n" );
document.write( "(2) Using algebra (good practice in solving problems using algebra; but much slower)....<br><BR>\n" );
document.write( "Let the tens digit be x<BR>\n" );
document.write( "Then the units digit is x+1<br><BR>\n" );
document.write( "The sum of the digits is x+(x+1) = 2x+1<br><BR>\n" );
document.write( "The number itself is 10(x)+(x+1) = 11x+1<br><BR>\n" );
document.write( "The number itself is 1 more than 5 times the sum of the digits:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%2B1+=+5%282x%2B1%29%2B1 ALIGN=MIDDLE  ALT=\"11x%2B1+=+5%282x%2B1%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%2B1+=+10x%2B6 ALIGN=MIDDLE  ALT=\"11x%2B1+=+10x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5 ALIGN=MIDDLE  ALT=\"x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The tens digit is x=5; the units digit is x+1 = 6; the number is 56. </SPAN>\n" );
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