MHB What is the missing number in this mathematical puzzle? 423=?

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The mathematical puzzle presents a series of equations where the first number corresponds to a transformed output. The examples given are 398=964, 118=164, and 356=936. Participants are trying to deduce the pattern to determine what 423 equals. The discussion includes requests for hints, indicating a collaborative effort to solve the puzzle. The final answer for 423 remains unresolved within the thread.
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398=964
118=164
356=936
423=?

What does 423 equal?
 
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LightningGirl said:
398=964
118=164
356=936
423=?

What does 423 equal?

Hey LightningGirl! Welcome to MHB! ;)

Can you give me a hint? (Sweating)
 
I like Serena said:
Hey LightningGirl! Welcome to MHB! ;)

Can you give me a hint? (Sweating)

First digit and last digit squared then put together.
I checked greg's solution and seems like it's also what he thought.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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