Grades 7-8 Video Solutions 2024-2024_7-8

Video Transcription

Video Summary

The problem involves determining the sum of four different positive integers placed on a grid, given the products of numbers in each row and column. By analyzing the possible integer placements for the first column, it is determined that the only valid configuration puts 1 in the top left, 4 in the bottom left, 6 in the top right, and 2 in the bottom right of the grid. This configuration satisfies the conditions for the products given: \(4 \times 2 = 8\) and \(6 \times 2 = 12\). Adding these integers together yields the sum: 1 + 6 + 4 + 2 = 13.

Keywords

integer placement

grid puzzle

product conditions

sum calculation

positive integers