document.write( "Question 1197718: Every different letter in this addition promblem stands for a different digit. A letter stands for the same digit everywhere it appears. Find the value of TEST
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Algebra.Com's Answer #831103 by greenestamps(13200) $\"\"$ $\"About$

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document.write( "   HE\r\n" );
document.write( "  SET\r\n" );
document.write( "  THE\r\n" );
document.write( " ----\r\n" );
document.write( " TEST\r\n" );
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document.write( "The sum is 4 digits; the addends are all 2 or 3 digits; so T must be 1.\r\n" );
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document.write( "   HE\r\n" );
document.write( "  SE1\r\n" );
document.write( "  1HE\r\n" );
document.write( " ----\r\n" );
document.write( " 1ES1\r\n" );
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document.write( "In the units column, E+1+E yields sum 1, so E is either 0 or 5.  But E=5 as the second digit of the sum is not possible, so E is 0.\r\n" );
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document.write( "   H0\r\n" );
document.write( "  S01\r\n" );
document.write( "  1H0\r\n" );
document.write( " ----\r\n" );
document.write( " 10S1\r\n" );
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document.write( "In the hundreds column, S+1 plus possibly a carry of 1 yields 0, so S is either 8 or 9.  But in the tens column, H+0+H yields S, so S is even.  So S is 8.\r\n" );
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document.write( "   H0\r\n" );
document.write( "  801\r\n" );
document.write( "  1H0\r\n" );
document.write( " ----\r\n" );
document.write( " 1081\r\n" );
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document.write( "ANSWER: TEST = 1081\r\n" );
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document.write( "Note that we can get some more practice with logical reasoning by finishing the addition problem.\r\n" );
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document.write( "In the tens column, H + 0 + H yields 8, so H is either 4 (4+4=8) or 9 (9+9=18).  But in the hundreds column a carry of 1 is needed, so H is 9.\r\n" );
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document.write( "   90\r\n" );
document.write( "  801\r\n" );
document.write( "  190\r\n" );
document.write( " ----\r\n" );
document.write( " 1081

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