Henry Ernest Dudeney/Puzzles and Curious Problems/102 - Juggling with Digits

Puzzles and Curious Problems by Henry Ernest Dudeney: $102$

Juggling with Digits

Arrange the ten digits in three arithmetical sums,

employing three of the four operations of addition, subtraction, multiplication and division,

and using no signs except the ordinary ones implying those operations.

Here is an example to make it quite clear:

$3 + 4 = 7$; $9 - 8 = 1$; $30 \div 6 = 5$.

But this is not correct, because $2$ is omitted, and $3$ is repeated.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $102$. -- Juggling with Digits
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $132$. Juggling with Digits