document.write( "Question 921686: The sum of the digits of a two-digit number is 6. The number with the digits in reverse order is 6 less than twice the original number. Find the original number. \n" ); document.write( "
Algebra.Com's Answer #805871 by CubeyThePenguin(3113)\"\" \"About 
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number: AB\r
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\n" ); document.write( "\n" ); document.write( "A + B = 6
\n" ); document.write( "10B + A = 2(10A + B) - 6\r
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\n" ); document.write( "\n" ); document.write( "Substitute B = 6 - A into the second equation.\r
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\n" ); document.write( "\n" ); document.write( "10(6 - A) + A = 2(10A + 6 - A) - 6
\n" ); document.write( "60 - 10A + A = 18A + 12 - 6
\n" ); document.write( "60 - 9A = 18A + 6
\n" ); document.write( "54 = 27A
\n" ); document.write( "A = 2 ---> B = 4\r
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\n" ); document.write( "\n" ); document.write( "The original number is AB = 24.
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