document.write( "Question 559945: my tens digit is 3 more than my ones digit. my hundreds is 1 less than my tens digit.what number am I if the sum of my digits is 20? \n" ); document.write( "

Algebra.Com's Answer #363582 by Edwin McCravy(20056) $\"\"$ $\"About$

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\n" ); document.write( ">>...my tens digit is 3 more than my ones digit...<<
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document.write( "equation 1.   t = u+3\r\n" );
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\n" ); document.write( ">>...my hundreds is 1 less than my tens digit...<<
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document.write( "equation 2.   h = t-1\r\n" );
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\n" ); document.write( ">>...the sum of my digits is 20...<<
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document.write( "equation 3.   h+t+u = 20\r\n" );
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document.write( "Use equation 1 to substitute u+3 for t in equation 2:\r\n" );
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document.write( "equation 2.  h = t-1\r\n" );
document.write( "             h = (u+3)-1\r\n" );
document.write( "             h = u+3-1\r\n" );
document.write( "equation 4.  h = u+2\r\n" );
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document.write( "Use equation 1 and equation 4 to substitute u+3 for t \r\n" );
document.write( "and u+2 for h in equation 3:\r\n" );
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document.write( "equation 3.           h+t+u = 20\r\n" );
document.write( "              (u+2)+(u+3)+u = 20\r\n" );
document.write( "                  u+2+u+3+u = 20\r\n" );
document.write( "                       3u+5 = 20\r\n" );
document.write( "                         3u = 15\r\n" );
document.write( "equation 5.               u = 5\r\n" );
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document.write( "Use equation 5 to substitute 5 for u in equation 4\r\n" );
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document.write( "equation 4.  h = u+2\r\n" );
document.write( "             h = 5+2\r\n" );
document.write( "             h = 7\r\n" );
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document.write( "Use equation 5 to substitute 5 for u in equation 1\r\n" );
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document.write( "equation 1.   t = u+3\r\n" );
document.write( "              t = 5+3\r\n" );
document.write( "              t = 8\r\n" );
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document.write( "So the digits are h = 7, t = 8, and u = 5 and\r\n" );
document.write( "therefore the number is 785.\r\n" );
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document.write( "Edwin

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