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Topic: The smallest sum (Read 202 times) |
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pcbouhid
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The smallest sum
« on: Nov 27th, 2005, 8:19am » |
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In each of the three additions below, each letter represents a different digit; however, each letter does not necessarily represent the same digit in one addition as it does in another addition.
G A L E E L S A N E A L
+ N E A L + G A L E + E L S A
------------ ------------ -------------
E L S A N E A L G A L E
Which addition has the smallest sum?
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JocK
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Re: The smallest sum
« Reply #1 on: Nov 27th, 2005, 8:57am » |
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GALE + NEAL leads to the smallest sum: ELSA = 5297 or 5681.
(ELSA + GALE leads to NEAL = 8651, and NEAL + ELSA leads to GALE = 9156 or 9257.)
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| « Last Edit: Nov 27th, 2005, 8:59am by JocK » |
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solving abstract problems is like sex: it may occasionally have some practical use, but that is not why we do it.
xy - y = x5 - y4 - y3 = 20; x>0, y>0.
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pcbouhid
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Re: The smallest sum
« Reply #2 on: Nov 27th, 2005, 1:22pm » |
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Your answer is totally right!
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