document.write( "Question 505910: the sum of the digits of a three digit number is six. the ten digit is one less than the units digit and the number is twelve more than one hundred times the hundred digit
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document.write( "Find the three digits \n" );
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Algebra.Com's Answer #340041 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! the sum of the digits of a three digit number is six. the ten digit is one less than the units digit and the number is twelve more than one hundred times the hundred digit \n" ); document.write( "Find the three digits \n" ); document.write( "================================================= \n" ); document.write( "Let h,t,u be the hundreds, tens and units digits \n" ); document.write( "Given: sum of the digits = 6 \n" ); document.write( "h+t+u = 6 \n" ); document.write( "ten digit is one less than units digit \n" ); document.write( "t = u - 1 \n" ); document.write( "number is 12 more than 100 times the hundred digit \n" ); document.write( "The number can be expressed as 100h + 10t + u -> 100h + 10t + u = 100h + 12 \n" ); document.write( "The last equation gives 10t + u = 12 \n" ); document.write( "Substitute the value for t: \n" ); document.write( "10(u - 1) + u = 12 \n" ); document.write( "11u = 22 \n" ); document.write( "u = 2 \n" ); document.write( "Therefore t = 1 and h = 6 - 2 - 1 = 3 \n" ); document.write( "Answer: 312\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |