All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 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.

 No Solution Yet Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 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

 Search: Search body:
Forums (0)