Henry Ernest Dudeney/Puzzles and Curious Problems/46 - A Square Family

Puzzles and Curious Problems by Henry Ernest Dudeney: $46$

A Square Family

A man had nine children, all born at regular intervals,

and the sum of the squares of their ages was equal to the square of his own.

What were the ages of each?

Every age was an exact number of years.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Age and Kinship Puzzles: $46$. -- A Square Family
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Age Puzzles: $41$. A Square Family