NOMAD
x4
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DAMON
Looking at the 5th digit column we find that since N is the units digit of something multiplied by 4,it must be even. But since DAMON and NOMAD have the same number of digits, we know that N * 4 < 10 ... or N<3. So N must be 2.
Looking If N=2, going back to the first digit we find that D must be 8 or 9 (depending on if the second digit column carries). But since we know that D *4 ends in 2, D must be 8 (9*4 ends in 6).
So we have:
2OMA8
x4
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8AMO2
Now since D=8, we know that the 2nd digit column did not carry, so O * 4 < 10. Therefore O is 0,1,or 2. Butlooking at the fourth column we find that O must be odd, as it had three carried over from the fifth column (8*4 = 32) and that three is added to an even number (the last digit of A * 4 would be even). This means O must be the only odd number in {0,1,2} . So O = 1
Looking at the fourth digit column, this means that A*4 ends in 8 (as when the 3 is carried over the result is 1). The only two choices that when multiplied by 4 result in 8 are 2 or 7. But we've already used 2 for N. Therefore A = 7.
21M78
x4
======
87M12
We just need to figure out the 3rd digit column. The column has 3 carried into it (78 *4 = 312), It also carries out 3 (87 = 21 *4 + 3).
So:
M * 4 + 3 = 30 + M
3M = 27
M=9
21978
x4
======
87912
The number represented by DAMON is 87912.
2007-03-08 01:07:24
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answer #1
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answered by vinniepescado 2
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N has to be even and no greater than 2. So it is 2.
D is 8 or 9. But looking at 4D, D from those two choices has to be 8.
O can only be 0 or 1; else D couldn't be as small as 8.
I'm bored already, and this is a well-known problem. I may come back and edit in a complete solution later.
2007-03-07 23:52:17
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answer #2
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answered by Curt Monash 7
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this is named a good judgment puzzle or good judgment difficulty. Penny Press sells magazines of them on the link under; Kappa's link would not look to paintings besides. they're greater fee-effective in magazine form than e book form.
2016-12-14 13:47:13
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answer #3
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answered by ? 4
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I don't know, but 40 years ago I and my father spent ages trying to work out a newspaper puzzle which said:
2 x WRONG = RIGHT
I still don't know the answer!
2007-03-07 23:54:16
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answer #4
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answered by Always Hopeful 6
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21978 x 4 = 87912
2007-03-08 00:02:57
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answer #5
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answered by blighmaster 3
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yea i have solve it!!! hmm one of let take D=0 then
NOMA(0)*4=0AMON
and the answer is 0=0
it is so simple!!!!!!!!!!!
2007-03-08 00:01:25
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answer #6
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answered by stranger_eyes2007 1
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60645656.....is that right???????
2007-03-08 00:00:31
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answer #7
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answered by Anonymous
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