Math riddle!?

Question

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?

Answer 1

NOMAD x 4 is a 5-digit number.
So, NOMAD x 4 < 100000 i.e. NOMAD < 25000.
Therefore, N = 1, 2.

Assume N = 2, and since D x 4 ends with N (2),
D = 3 or 8.

Also, if N is 2 then NOMAD x 4 = DAMON > 80000. So, D = 8.

NOMAD x 4 < 90000
NOMAD < 22500.
Therefore, O = 0, 1 or 2.
Since N, O, M, A, D are unique,
O = 0 or 1.

If O = 0, then 4A + 3 must end with the number O (0). i.e. an impossible situation.

If O = 1, then 4A + 3 must end with the number O (1) i.e. 4A must end with 8. i.e. A = 2 or 7.

Since N, O, M, A, D are unique,
A = 7.

Now, we have...
21M78
x4
-----
87M12

From this we get, 4M + 3 ends with M.
And M = 0, 3, 4, 5, 6, 9. (since all digits are unique)
Substituting, we get,
M = 9.

Thus, NOMAD = 21978.

Multiplying by 4 we get,
NOMAD x 4 = 87912. i.e. the reverse of 21978.
Hence, the solution is correct.

DAMON = 87912.

Answer 2

Tara has $29.00 money. She offered 4 coloring books that fee $3.00 each, 4 packing packing containers of crayola crayons that fee $2.00 each. She spend something of her money on markers. how plenty money did she spend on markers answer:$9.00 on markers --------------------------------------... I certainly have 3 u . s . a . money. they are no longer 1 / 4, nor a dime, or a penny. It provides as much as 60 cents. What are the money. answer : A 50 cent piece and 2 nickels --------------------------------------... how are you able to upload 8 8's to get the huge style a million,000? (purely use addition) answer:the biggest to this math riddle is understanding that the only place must be 0. 888 +88 +8 +8 +8 =a million,000 --------------------------------------... 3 attorneys lease a hotel room for the night. whilst they get to the hotel they pay the $30 fee, then go as much as their room. quickly the bellhop brings up their luggage and provides the lawysers returned $5 using fact the hotel become having a particular decrease fee that weekend. So the three attorneys be certain to each shop between the $5 money and to offer the bellhop a $2 tip. although, whilst they sat right down to tally up their costs for the weekend the ought to no longer clarify right here info: one and all of them had initially paid $10 (in the direction of the preliminary $30), then each have been given returned $a million which meant that they each paid $9. Then they gave the bellhop a $2 tip. although, 3 • $9 + $2 = $29 The attorneys could no longer decide what got here approximately to the different greenback. inspite of each little thing, the three paid out $30 yet ought to purely account for $29. are you able to be certain what got here approximately? answer : There are ma huge apple procedures of explaining/thinking bout this rather concepts bending riddle! all of it boils right down to the reality that the attorneys's math is erroneous. they did no longer spend $9 • 3 + $2. They spent precisely $27 money. $25 for the room and $2 for the top. bear in concepts they have been given precisely $3, in complete returned. yet in a diverse thank you to think of with reference to the answer to this riddle is to purely pretend that the bellhop refunded $3 to the attorneys (particularly than giving them $5 and recieving $2 returned). If the attorneys get $3 returned and each takes $a million. They they spent precisely $27 money. --------------------------------------...

Answer 3

Flibbits has answered beautifully.....10 points to him!!

Answer 4

yeah i agree

Answer 5

hey flibbits i was gonna have the same answer

Answer 6

flibbits is good