# How Many Men Were There Originally ?

Some staff promised to do a job in 18 days, but 6 of them went on leave. So the remaining men took 20 days to complete the job. How many men were there originally ?

- 55
- 62
- 56
- 60

**Answer: (4) 60**

**Explanation:-**

Let be the number of men in a staff = X

X men can do job complete = 18 days.

But 6 of them went on leave,

Then, remaining men took 20 days to complete the job.

then, number of men (X – 6) .

**Formula-**

**M _{1 }D_{1} = M_{2}D_{2
}Where, M = number of men & D = number of day.**

Here, M

_{1}= X , M

_{2}= (X – 6), D

_{1}= 18 & D

_{2}= 20

Put the values in formula-

X x 18 = (X – 6 ) x 20

18 X = 20 X – 120

18 X – 20 X = – 120

– 2 X = – 120

X = 120/2

X = 60

Hence, there were 60 men there originally.