Maths Olympiad Prep

Track / Stage 4 / 100 of 340 #360 of 1964

Problem 360

AMC 12 late, AIME early
Combinatorics Difficulty 4.8 Find the answer

The numbers from 1 to 9 were placed inside five Olympic rings, in such a way that the sum inside each ring is 11.

Arrange the nine numbers in another way, so that the sum inside each ring is always the same and as large as possible.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

17. Denise's Games (N2/N3) - The first, the second, the third, the fourth, and the eighth.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.