Puzzle:
Can you find a five digit number which has no zeros no digit is repeated, where:
- The first digit is a prime number.
- The second digit is the fifth digit minus the first digit.
- The third digit is twice the first digit.
- The fourth digit is the third digit plus three.
- The fifth digit is the difference between the first digit and the fourth digit.
17 comments:
23475
...23475...
Let the number be ABCDE
so we have the possible solutions as
A : {2,3,5,7}
B : {E - A}, ie, E > A
C : {2*A}, so {2,3} and not 10 and 14
D : {7,9}, as D = C + 3
E : {|A - D|}
From C, we have A = {2,3}
Clearly A = 2 is the solution we are looking for, as A = 3 would give C = 2*A = 6, and E = 2*A + A -A = 2*A = 6, therefore C = E...
Hence A = 2...
23475
its 23475
its 23475
mail: aragupathy@gmail.com
13254 also satisfies all the conditions :)
13254 does not work, as 1 is not prime.
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