Work done by (x + 4) men in (x + 5) days is equal to the

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Work done by (x + 4) men in (x + 5) days is equal to the work done by (x – 5) men in (x + 20) days. Then the value of x is

1. 20
2. 25
3. 30
4. 15

Correct Option: A

Using Rule 1,
According to the question,
M₁D₁ = M₂D₂
⇒ (x + 4) (x + 5)
= (x – 5) (x + 20)
⇒ x₂ + 5x + 4x + 20
= x₂ – 5x + 20x – 100
⇒ 9x + 20 = 15x – 100
⇒ 15x – 9x = 100 + 20
⇒ 6x = 120

⇒ x =	120	= 20
	6