# Find The Original Number of Men

A certain number of men can do a piece of work in 40 days. If there were 45 men more the work could have been finished in 25 days. Find the original number of men employed in the work

- 70
- 85
- 65
- 75

**Answer: (4) 75**

**Explanation:-**

Let be the number of men = X

X men can do a piece of work = 40 days

45 men more the work could have been finished = 25 days.

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 + 45), D_{1} = 40 & D_{2} = 25

Put the values in formula-

X x 40 = (X + 45) x 25

40 X = 25 X + 45 x 25

40 X – 25 X = 45 x 25

15 X = 45 x 25

X = 45 x 25 /15

X = 75

Hence, the answer is (4) 75.