Henry Ernest Dudeney/Puzzles and Curious Problems/353 - The Three Sugar Basins

Puzzles and Curious Problems by Henry Ernest Dudeney: $353$

The Three Sugar Basins

Three basins each contain the same number of lumps of sugar,

and nine cups are empty.

If we transfer to each cup one-eighteenth of the number of lumps that each basin contains,

we then find that each basin holds $12$ more lumps than each of the cups.

How many lumps are there in each basin before they are removed?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Unclassified Problems: $353$. -- The Three Sugar Basins
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $255$. The Three Sugar Basins