Question

1000 soldiers in a fort had enough food for 20 days. But some soldiers were transferred to another fort and the food lasted for 25 days. How many soldiers were transferred?

Answer 1

Let the number of soldiers transferred be = x

by unitary method

number of soldiers      ║   days food lasted
-------------------------------------------------------------  
 1000                           ║         20
1000-x                         ║          25
---------------------------------------------------
 by inverse variation  
1000 × 20 = (1000-x) × 25
1000 ×20/ 25 =1000 - x
800 = 1000 -x
x= 1000 - 800
  = 200

∴200 soldiers were transferred to another fort.

Answer 2

Answer:

Step-by-step explanation:

Let the numbers transferred soilders are X

20×1000=20000

There are let 1000-X

So,

20000/1000-X= 25

Or,25000-25X=20000

Or,25000-20000=25X

Or,X= 5000/25

X =200

Soilders transferred there are 200 .