perplexus.info :: Just Math : Find From Four

Find From Four (Posted on 2015-03-18)

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(2,6,8,15) is the only quadruplet of positive integers that satisfy the given conditions.
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Proving uniqueness	Dej Mar	2015-03-18 22:52:37
Proving uniqueness	Steve Herman	2015-03-18 08:49:44
answer	Dej Mar	2015-03-18 08:40:42

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