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.

The set of four numbers are {2,6,8,15}.

(i) 2+6+8+15 = 31
(ii) 2,6, and 8 are each even; 15 is odd
(iii) 15 > 2, 15 > 6, and 15 > 8; 15 is composite (5x3)
(iv) |6 - 8| = 2

Posted by Dej Mar on 2015-03-18 08:40:42