Henry Ernest Dudeney/Puzzles and Curious Problems/44 - Their Ages

Puzzles and Curious Problems by Henry Ernest Dudeney: $44$

Their Ages

A man, on being asked the ages of his two sons, stated that

eighteen more than the sum of their ages is double the age of the elder,

and six less than the difference of their ages is the age of the younger.

What are their ages?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Age and Kinship Puzzles: $44$. -- Their Ages
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Age Puzzles: $39$. Their Ages