Some carpenters promised to do a job in 9 days but 5 of

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Some carpenters promised to do a job in 9 days but 5 of them were absent and remaining men did the job in 12 days. The original number of carpenters was

Using Rule 1,
Let the original number of carpenters be x.
M₁D₁ = M₂D₂
⇒ x × 9 = (x – 5) × 12
⇒ 9x = 12x – 60
⇒ 3x = 60 ⇒ x = 20