Remnok the Nomad has a brother, Damon the Nomad, who's fond of coming up with math puzzles. Anyway, he came up with one that uses his own name:
Assume each letter in the following formula represents a unique digit: (for example, ABCD could be the number 1234)
NOMAD x 4 = DAMON
What is the number represented by the digits DAMON?
2007-03-08 00:35:05 · 6 answers · asked by Etch 1 in Science & Mathematics ➔ Mathematics
NOMAD
x4
======
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
======
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 01:06:19 · answer #1 · answered by vinniepescado 2 · 2⤊ 0⤋
This is the repitition of a problem asked by someone yesterday also.I took some time to find out the solution but couldnot find back the question anymore.
Any how it is 21978X4=87912
2007-03-08 00:51:01 · answer #2 · answered by alpha 7 · 0⤊ 0⤋
21978 * 4 = 87912
2007-03-08 00:39:06 · answer #3 · answered by A New Life 3 · 0⤊ 0⤋
NOMAD = 21978
DAMON = 87912
Fairly easy that my boy.....;o)
2007-03-08 00:39:20 · answer #4 · answered by Doctor Q 6 · 0⤊ 0⤋
21978 * 4 = 87912
NOMAD = 21978
DAMON = 87912
2007-03-08 00:46:12 · answer #5 · answered by Anonymous · 0⤊ 0⤋
they all equal Zero. 00000
2007-03-08 00:43:24 · answer #6 · answered by banshee_in_middleville 2 · 0⤊ 2⤋