document.write( "Question 1029999: A number is made of two consecutive digits but if the digits are interchanged. the original value is increased by 9. find the two digits \n" ); document.write( "
Algebra.Com's Answer #644907 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let the smaller digit = x\r\n" );
document.write( "Then since the digits are consecutive,\r\n" );
document.write( "the larger is 1 more than the smaller digit,\r\n" );
document.write( "So the larger digit = x+1\r\n" );
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\n" ); document.write( "if the digits are interchanged. the original value is increased...
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document.write( "That tells us that the original number is smaller than the\r\n" );
document.write( "number with the digits interchanged.  So the original number\r\n" );
document.write( "has the smaller first (or tens) digit.  Therefore:\r\n" );
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document.write( "The original number = 10x + (x+1)\r\n" );
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document.write( "The number with the digits reversed = 10(x+1) + x\r\n" );
document.write( "

\n" ); document.write( "if the digits are interchanged. the original value is increased by 9
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document.write( "10(x+1) + x = 10x + (x+1)\r\n" );
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document.write( "Solve that for x and what you get for x will be the smaller digit,\r\n" );
document.write( "then add 1 to it and what you get will be the larger digit.  You\r\n" );
document.write( "finish.\r\n" );
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document.write( "Edwin
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