Solving Square Problems: Find the Patterns & Fill In

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SUMMARY

The discussion focuses on solving square problems where a larger square is divided into four smaller squares, each containing numbers that must adhere to specific mathematical rules. The participant suggests that these rules can be represented as a system of four equations with four unknowns, allowing for the identification of patterns and the filling of missing numbers. The approach emphasizes the importance of understanding the relationships between the numbers in each square to solve the problem effectively.

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Mk
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I've come across these before. How should I approach them?

A square is quadrasected (I just invented that word), well, it is cut into four equal parts that are squares, and in each small square a number is placed in. The numbers must obey rules—like the bottom right square's number divided by the top right's is equal to the bottom left's number. There are three other squares that follow the same rules, but some of the squares have missing numbers. I need to find the patterns, and fill in the missing numbers.

What should I do??
 
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Well, if each square has a set of rules (read equation) then you have a system of 4 equations in 4 unknowns.
 

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