Question

A certain number of men can finish a piece of work in 100 days. If there

were 10 men less, it would take 10 days more for the work to be finished. How

many men were there originally?​

Answer 1

Answer:

Let the original number of men=x.

So, x men finish the work in100days.

After 10 men leave,

x−10 men finish the work in  (100+10)=110days.

Now the number of men is inversely proprtional to the number of days

in which they finish the work.

∴   $\frac{x}{x-10}$ =$\frac{110}{100}$

 

⟹100x=110x−1100

⟹x=110.

So the original number of men was 110.

Step-by-step explanation: