Henry Ernest Dudeney/Puzzles and Curious Problems/57 - The Broken Clock Face

Puzzles and Curious Problems by Henry Ernest Dudeney: $57$

The Broken Clock Face

How may a clock dial with Roman numerals be broken into four parts

so that the numerals on each part add up in every case to $20$?

Here is an example of an attempt at a solution where the parts do not quite add to $20$:

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Clock Puzzles: $57$. -- The Broken Clock Face
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Clock Puzzles: $49$. The Broken Clock Face