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5 Digit Number

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.
For Solution SCROLL DOWN...

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Solution:

The five digit number is 23475.

17 comments:

Dharmendra said...

23475

Jayant said...

...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...

sanal said...

23475

PDA said...

its 23475

Anonymous said...

its 23475
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Novice Academician said...

13254 also satisfies all the conditions :)

Anonymous said...

13254 does not work, as 1 is not prime.

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