A PROBLEM IN SQUARES

We possess three square boards. The surface of the first contains five square feet more than the second, and the second contains five square feet more than the third. Can you give exact measurements for the sides of the boards? If you can solve this little puzzle, then try to find three squares in arithmetical progression, with a common difference of `7` and also of `13`.

Number Theory Algebra -> Sequences -> Arithmetic Progression / Arithmetic Sequence Algebra -> Equations -> Diophantine Equations

Sources:

Amusements in Mathematics, Henry Ernest Dudeney Question 128

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