# Work done by (x+4) men in (x+5) days in equal to the work done by (x-5) men in (x+20) days :

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

- 25
- 30
- 15
- 20

**Answer: (4) 20**

**Explanation:-****Formula – ****M1 D1 = M2 D2 ****Where, M = number of men & D = Number of days **

Then, (X + 4) (X + 5) = (X – 5) (X + 20)

X^2 + 5 X + 4 X + 20 = X^2 + 20 X – 5 X – 100

9 X + 20 = 15 X – 100

15 X – 9 X = 100 + 20

6 X = 120

X = 120/6

X = 20

Then, the value of X is 20.

Hence, the correct answer is option (4) 20.