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Pastimes : Brain Teasers.

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To: PaperProphet who wrote (35)11/25/1996 8:53:00 PM
From: Tom Smith   of 136
 
124578 ==> You discarded a 9.

The key to the trick is to recognize that the string of digits resulting from the subtraction must add up to a number divisible by 9. The dropped digit is whatever digit must be added in to bring the sum up to the next higher number divisible by 9.

Your string adds up to 27 (1 + 2 + 4 + 5 + 7 + 8 = 27). The next higher number divisible by 9 is 36. 36 - 27 = 9.

Accountants and other number crunchers actually used this technique to check their arithmetic before we all got lazy and let computers do it for us.

Tom
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