Solve this plz?

Question

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?

Answer 1

4 * NOMAD = DAMON
The left N can only be 1 or 2 otherwise there would be a carry when multiplying by 4. However, multiplication by 4 produces an even number, so the N on the right must be even. Hence:
N = 2

Therefore, since 4*D ends in N=2, D is either 3 or 8. But since 4 * N is 8:
D = 8

That means there is no carry when multiplying 4 * O. Thus, O is either 0 or 1. However, ON (from the right) must be divisible by 4, and if O is 0 it is not. Therefore:
O = 1

The rightmost two digits of 4 * AD (A8) must be ON (12). Since 4 * 8 = 32 has a carry of 3, that means 4 * A must end in an 8, since 8 + 3 ends in 1. Therefore, 4 * A must end in 8. In other words, A = 2 or 7. But N is already 2 so:
D = 7

Since 4 * NO = 84, but DA=87, there is a carry of 3 upon multiplication of 4 * M. This can only happen when M>6. But 7 and 8 are already being used so
M = 9

4 * 21978 = 87912



Since the right ends in ON (12) that means that the rightmost two digits of

Answer 2

This is a puzzle already solved not by random trial and error,but by logic.

The basic number is 21978.
21978 * 4 = 87912

Now as we do the multiplication we see that 3 is carried over twice.It means it would still work without 9.

2178 * 4 = 8712

An interesting property is noted here.When you multiply 9 by 4 and carry over 3 you can add another 9 in between and still get a similar answer.

219978 * 4 = 879912.

This can be done with as many number of 9s and the reversed number can be obtained.

This number is represented by 21x78 * 4 = 87x12,where x can be filled with any number of 9s.

Answer 3

DAMON = 87912

since
21978 x 4 = 87912

Answer 4

4NOMAD