document.write( "Question 524261: Cryptic Math: Each of the nine letters stands for one of the numbers one through nine, but no two letter stand for the same number. Using clues, can you deduce the number represented by each letter?
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\n" ); document.write( "\n" ); document.write( "1- One row consists of three consecutive digits in ascending order reading from left to right.
\n" ); document.write( "2-F is not a prime number.
\n" ); document.write( "3-H is larger than M & both H & M are divisible by I, which is not 1.
\n" ); document.write( "4-N is divisible by both J & L, neither of which is 1. \n" ); document.write( "
Algebra.Com's Answer #347755 by Edwin McCravy(20056)\"\" \"About 
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1- One row consists of three consecutive digits in ascending order reading from left to right.
\n" ); document.write( "2-F is not a prime number.
\n" ); document.write( "3-H is larger than M & both H & M are divisible by I, which is not 1.
\n" ); document.write( "4-N is divisible by both J & L, neither of which is 1
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document.write( "F=? G=? H=?    \r\n" );
document.write( "I=? J=? K=?    \r\n" );
document.write( "L=? M=? N=?    \r\n" );
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document.write( "We first look at clue 4.\r\n" );
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\n" ); document.write( "4-N is divisible by both J & L, neither of which is 1
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document.write( "We observe that:\r\n" );
document.write( "6 is divisible by both 2 and 3\r\n" );
document.write( "8 is divisible by both 2 and 4\r\n" );
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document.write( "6 and 8 are the only digits which are divisible by two digits other than 1,\r\n" );
document.write( "(or themselves), thus:  \r\n" );
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document.write( "(i)  6 and 8 are the only candidates for N.\r\n" );
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document.write( "Since in either case, 2 is one of the divisors, we know that \r\n" );
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document.write( "(ii)  either J or L must be 2. \r\n" );
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document.write( "Next we look at clue 3:\r\n" );
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\n" ); document.write( "3-H is larger than M & both H & M are divisible by I, which is not 1.
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document.write( "I can't be 2 because of (ii).  So we look for a digit for I other\r\n" );
document.write( "than 2 (or 1) which two other digits are divisible by.  There is only\r\n" );
document.write( "one possibility, 6 and 9 are divisible by 3, so \r\n" );
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document.write( "(iii) I must be 3.   \r\n" );
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document.write( "That makes H & M be 6 & 9 and since H is larger than M, \r\n" );
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document.write( "(iv)  H=9 and M=6   \r\n" );
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document.write( "Now since M=6, (i) tells us that \r\n" );
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document.write( "(v)   N=8\r\n" );
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document.write( "F=? G=? H=9    \r\n" );
document.write( "I=3 J=? K=?    \r\n" );
document.write( "L=? M=6 N=8\r\n" );
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document.write( "Now we look at clue 1\r\n" );
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\n" ); document.write( "1- One row consists of three consecutive digits in ascending order reading from left to right.
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document.write( "That can't be the bottom row because 6 and 8 are not consecutive.\r\n" );
document.write( "It can't be the top row because G can't be 8 since N is 8. Therefore\r\n" );
document.write( "the row that contain the consecutive digits in ascending order is the\r\n" );
document.write( "middle row, so we have J=4 and K=5.  Now we have:\r\n" );
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document.write( "F=? G=? H=9    \r\n" );
document.write( "I=3 J=4 K=5    \r\n" );
document.write( "L=? M=6 N=8\r\n" );
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document.write( "By (ii) above L=2 since J=4, so we have:\r\n" );
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document.write( "F=? G=? H=9    \r\n" );
document.write( "I=3 J=4 K=5    \r\n" );
document.write( "L=2 M=6 N=8\r\n" );
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document.write( "We have now used every digit but 1 and 7.\r\n" );
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document.write( "So we look at clue 2: \r\n" );
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\n" ); document.write( "2-F is not a prime number.
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  \r\n" );
document.write( "7 is prime, and 1 is not, so F=1 and G=7.\r\n" );
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document.write( "Final solution:\r\n" );
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document.write( "F=1 G=7 H=9    \r\n" );
document.write( "I=3 J=4 K=5    \r\n" );
document.write( "L=2 M=6 N=8\r\n" );
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document.write( "Edwin
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