Henry Ernest Dudeney/Puzzles and Curious Problems/20 - Boys and Girls

Puzzles and Curious Problems by Henry Ernest Dudeney: $20$

Boys and Girls

Nine boys and three girls agreed to share equally their pocket-money.

every boy gave an equal sum to every girl,

and every girl gave another equal sum to every boy.

Every child then possessed exactly the same amount.

What was the smallest possible amount that each then possessed?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Money Puzzles: $20$. -- Boys and Girls
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Money Puzzles: $26$. Boys and Girls