NRICH: 2-digit Square

A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?

2-digit number is squared. When the 2-digit number is reversed and squared, the difference between the squares is also a square.

What is the 2-digit number?

Age 14 to 16


Algebra & Pre-Algebra, Quadratic Equations
High School, Educator

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NRICH (University of Cambridge)

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Challenge

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