Henry Ernest Dudeney/Puzzles and Curious Problems/168 - Mental Arithmetic

Puzzles and Curious Problems by Henry Ernest Dudeney: $168$

Mental Arithmetic

Find two whole numbers (each less than $10$)

such that the sum of their squares, added to their product, will make a square.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $168$. -- Mental Arithmetic
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $233$. Mental Arithmetic