Grades 9-10 Video Solutions 2021-video 2021 9-10/13

Video Transcription

Video Summary

The problem involves arranging numbers 1 to 6 in circles at the intersections of rings, ensuring each ring's sum is equal. With number 6 shown, and using variables for circle positions, we define sums for each ring, labeled A, B, and C. Recognizing these sums are identical, we sum all circle values and identify equal pairs across different rings. The total sum of numbers 1 to 6 is 21, dividing by 3 pairs gives 7 for each pair's sum. Consequently, the mystery number, complementing 6 to reach 7 in one pair, is 1. The answer is 1.

Keywords

number arrangement

ring intersections

equal sums

puzzle solution

number pairs