document.write( "Question 661672: HA and AH represent two 2-digit numbers. If HA - AH =18, what is the value of the expression H - A? \n" ); document.write( "

Algebra.Com's Answer #411784 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "(10H + A) - (10A + H) = 18\r\n" );
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document.write( "    10H + A - 10A - H = 18\r\n" );
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document.write( "              9H - 9A = 18\r\n" );
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document.write( "Divide through by 9\r\n" );
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document.write( "                H - A = 2\r\n" );
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document.write( "Note that there is no way to find H and A.  In fact\r\n" );
document.write( "there are seven possibilities:\r\n" );
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document.write( "HA = 31 and AH = 13 or\r\n" );
document.write( "HA = 42 and AH = 24 or\r\n" );
document.write( "HA = 53 and AH = 35 or\r\n" );
document.write( "HA = 64 and AH = 46 or\r\n" );
document.write( "HA = 75 and AH = 57 or\r\n" );
document.write( "HA = 86 and AH = 68 or\r\n" );
document.write( "HA = 97 and AH = 79\r\n" );
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document.write( "But in each of these 7 cases, H - A = 2\r\n" );
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document.write( "Edwin

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