document.write( "Question 930560: number of two digit exceeds 4 times the sum of the digits by 3 if 36 is added to the number the digits are reversed find the number
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Algebra.Com's Answer #565176 by ptfile(81)![]() ![]() You can put this solution on YOUR website! Let t = tens digit \n" ); document.write( " u = unit digit \n" ); document.write( " 10t+u = the number \n" ); document.write( " 10u+t = the reversed number\r \n" ); document.write( "\n" ); document.write( "The number of two digit exceeds 4 times the sum of the digits by 3 \n" ); document.write( "10t+u = 4(t+u)+3\r \n" ); document.write( "\n" ); document.write( "If 36 is added to the number the digits are reversed \n" ); document.write( "10u+t = 10t+u+36 \n" ); document.write( " 9u = 9t+36 \n" ); document.write( " u = t+4\r \n" ); document.write( "\n" ); document.write( "Substitute u with t+4 \n" ); document.write( "10t+t+4 = 4(t+t+4)+3 \n" ); document.write( " 11t+4 = 4(2t+4)+3 \n" ); document.write( " 11t+4 = 8t+19 \n" ); document.write( " 3t = 15 \n" ); document.write( " t = 5 \n" ); document.write( " u = 9\r \n" ); document.write( "\n" ); document.write( "The number is 59.\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "59+36 = 95 \n" ); document.write( " 95 = 95\r \n" ); document.write( "\n" ); document.write( "59 = 4(9+5)+3 \n" ); document.write( "59 = 4(14)+3 \n" ); document.write( "59 = 56+3 \n" ); document.write( "59 = 59\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |