Ordered TripleMath brain teasers require computations to solve.
Find the number of ordered triples (A, B, C) where A, B and C are positive integers, A is a factor of B, A is a factor of C, and A+B+C=30.
AnswerIf A=1, then the possibilities are B=1, C=28; ..., B=28, C=1, 28 possibilities;If A=2, then the possibilities are B=2, C=26; ..., B=26, C=2, 13 possibilities, 41 accumulated; If A=3, then the possibilities are B=3, C=24; ..., B=24, C=3, 8 possibilities, 49 accumulated; If A=5, then the possibilities are B=5, C=20; ..., B=20, C=5, 4 possibilities, 53 accumulated; If A=6, then the possibilities are B=6, C=18; ..., B=18, C=6, 3 possibilities, 56 accumulated; If A=10, then the only possibility is B=10, C=10, 57 possibilities accumulated. Hide What Next?
Tweet
See another brain teaser just like this one... Or, just get a random brain teaser If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own. Back to Top |
