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RMS Rigor (Posted on 2014-11-04) Difficulty: 3 of 5
A < B < C < D are four positive integers such that:

(i) B is the arithmetic mean of A and C and:
(ii) C is the rms of B and D, and:
(iii) D-A = 50

Determine all possible quadruplets satisfying the given conditions and prove that there are no others.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionGeneral solution ( D-A = K )Steve Herman2014-11-05 21:23:55
SolutionAnalytical solution (without quadratic equation)Steve Herman2014-11-05 18:18:05
SolutionAlmost full solutionJer2014-11-05 13:11:15
Some Thoughtscomputer check of all a from 1 to a million (spoiler)Charlie2014-11-04 20:32:00
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