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)\"\" \"About 
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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
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