NOMAD x 4 = DAMON does any one know the answer??

Question

please it is driving me nuts a website with the answer would do

Answer 1

21978*4
n=2
o=1
m=9
a=7
d=8

so *4 = 87912
8=d
7=a
9=m
1=0
2=n

Answer 2

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 NOMAD is 21978.
The number represented by DAMON is 87912.

Answer 3

DAMON=NOMAD*4 because it is the reversal

Answer 4

21978
x 4
= 87912

Answer 5

http://www.artofproblemsolving.com/Forum/viewtopic.php?highlight=nomad&t=137514

I don't want to type out the complete solution, there it is.