document.write( "Question 423814: The sum of two digits of a number is 11.\r
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document.write( "If the digits are reversed the number is 63 more than the original number.\r
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document.write( "What is the original number? \n" );
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Algebra.Com's Answer #295526 by rfadrogane(214) You can put this solution on YOUR website! The sum of two digits of a number is 11. \n" ); document.write( "If the digits are reversed the number is 63 more than the original number. \n" ); document.write( "What is the original number? \n" ); document.write( "Let: N = the original number. \n" ); document.write( "N = 10t+u \n" ); document.write( "t=the ten's digit \n" ); document.write( "u-unit digit\r \n" ); document.write( "\n" ); document.write( "Sol'n: \n" ); document.write( "t+u=11 ----(1), the sum of two digits of a number is 11. \n" ); document.write( "10u+t=(10t+u)+63, when the digits are reversed the number is 63 more than the original number. \n" ); document.write( "9t-9u=-63, when divide by 9 \n" ); document.write( "t-u = -7----(2) \n" ); document.write( "Add (1) and (2). \n" ); document.write( "2t=4 \n" ); document.write( "t=2 and for u: \n" ); document.write( "u=11-2 \n" ); document.write( "u=9 \n" ); document.write( "thus, \n" ); document.write( "N=10(2)+9 \n" ); document.write( "N=29 ----answer \n" ); document.write( "Check: \n" ); document.write( "92-29=63 \n" ); document.write( "^_^ \n" ); document.write( " \n" ); document.write( " |