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5 Digit Number III (Posted on 2014-04-22) Difficulty: 1 of 5
Determine all possible values of a 5-digit positive integer N, such that:
  1. The first two digits of N, read as a two digit number, are three times the third digit, and:
  2. The last two digits of N (read as a two digit number) are twice the third digit, and:
  3. The sum of all the digits of N is 27.
Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
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re: Proof - shortened Comment 3 of 3 |
(In reply to Proof by Charlie)

The middle digit must be a multiple of 3 for the sum of digits to be a multiple of 9.

You only need to check 3, 6 and 9

  Posted by Jer on 2014-04-24 01:32:35

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