document.write( "Question 1001845: The sum of the digits of a two two-digit number is 13. If the digits are reversed, the new number is 27 less than the original number. Find the number.\r
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document.write( "Choices:
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document.write( "76
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document.write( "94
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document.write( "95
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document.write( "85 \n" );
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Algebra.Com's Answer #618906 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x in the tens place \n" ); document.write( "y in the digits place\r \n" ); document.write( "\n" ); document.write( " the number be 10x+y\r \n" ); document.write( "\n" ); document.write( "x+y =13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "reversed number = 10y+x\r \n" ); document.write( "\n" ); document.write( "10y+x = 10x+y -27\r \n" ); document.write( "\n" ); document.write( "9y-9x=-27\r \n" ); document.write( "\n" ); document.write( "/9\r \n" ); document.write( "\n" ); document.write( "y-x=-3\r \n" ); document.write( "\n" ); document.write( "add the two equations \n" ); document.write( "2y = 10 \n" ); document.write( "/2 \n" ); document.write( "y=5\r \n" ); document.write( "\n" ); document.write( "x+y=13\r \n" ); document.write( "\n" ); document.write( "y=5 \n" ); document.write( "x=8\r \n" ); document.write( "\n" ); document.write( "85 is the number\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |