document.write( "Question 763388: a two digit number is 4 more than six times the sum of its digits. if 18 is subtracted from the number,the digits are reversed.find the number.
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Algebra.Com's Answer #464763 by nerdybill(7384)\"\" \"About 
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a two digit number is 4 more than six times the sum of its digits. if 18 is subtracted from the number,the digits are reversed.find the number.
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\n" ); document.write( "Let x = ones digit
\n" ); document.write( "and y = tens digit
\n" ); document.write( "then from \"a two digit number is 4 more than six times the sum of its digits\":
\n" ); document.write( "x + 10y = 6(x+y)+4
\n" ); document.write( "x + 10y = 6x+6y+4
\n" ); document.write( "10y = 5x+6y+4
\n" ); document.write( "4y = 5x+4
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\n" ); document.write( "and, from \"if 18 is subtracted from the number,the digits are reversed.find the number\"
\n" ); document.write( "x+10y -18 = y+10x
\n" ); document.write( "10y -18 = y+9x
\n" ); document.write( "9y -18 = 9x
\n" ); document.write( "y -2 = x
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\n" ); document.write( "substitute the above into:
\n" ); document.write( "4y = 5x+4
\n" ); document.write( "4y = 5(y-2)+4
\n" ); document.write( "4y = 5y-10+4
\n" ); document.write( "4y = 5y-6
\n" ); document.write( "4y+6 = 5y
\n" ); document.write( "6 = y
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\n" ); document.write( "substitute above into:
\n" ); document.write( "4y = 5x+4
\n" ); document.write( "4(6) = 5x+4
\n" ); document.write( "24 = 5x+4
\n" ); document.write( "20 = 5x
\n" ); document.write( "4 = x
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\n" ); document.write( "The number is 64
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