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Find From Four (Posted on 2015-03-18) Difficulty: 2 of 5
Find four distinct positive integers such that:

(i) The sum of all the four positive integers is 31, and:
(ii) Precisely one of four numbers is odd, and:
(iii) The only odd number is the largest and it is not prime, and:
(iv) The absolute difference between the middle two numbers is 2.

No Solution Yet Submitted by K Sengupta    
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Solution Proving uniqueness | Comment 2 of 3 |
There are not many cases to try
2 4 6 19 <-- fail, prime
2 6 8 15 <-- SOLUTION
2 10 12 11 <-- odd number not largest, so no more possibilities starting with 2
4 6 8 13 <-- fail, prime
4 8 10 9 <-- odd number not largest, so no more possibilities starting with 4
6 8 10 7 <-- odd number not largest, so no more possibilities starting with 6 or higher


  Posted by Steve Herman on 2015-03-18 08:49:44
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