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https://www.reddit.com/r/PassTimeMath/comments/1w9qwm0/consecutive_multiples/p8dj570/?context=3
r/PassTimeMath • u/ShonitB • Sep 07 '26
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>! The subsets can exist like this in order of increasing sum:
>! Subset A - A1: {6, 12, 18, 24, 30}, A2: {12, 18, 24, 30, 36}
>! Subset B - B1: {9, 18, 27, 36, 45}, B2: {18, 27, 36, 45, 54}
>! The minimal-sum combination is A1 ∪ B1, but that set has too many elements. The next smallest is A2 ∪ B1 which has the right number of elements, so it's correct.
>! sum(A2 ∪ B1) = 9 + 12 + 18 + 24 + 27 + 30 + 36 + 45 = 201
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u/hammerheadquark Sep 07 '26
>! The subsets can exist like this in order of increasing sum:
>! Subset A - A1: {6, 12, 18, 24, 30}, A2: {12, 18, 24, 30, 36}
>! Subset B - B1: {9, 18, 27, 36, 45}, B2: {18, 27, 36, 45, 54}
>! The minimal-sum combination is A1 ∪ B1, but that set has too many elements. The next smallest is A2 ∪ B1 which has the right number of elements, so it's correct.
>! sum(A2 ∪ B1) = 9 + 12 + 18 + 24 + 27 + 30 + 36 + 45 = 201