Question

900 Soldiers in a fort had enough food for 18 days.But some soldiers were transferred to another fort and thus the food lasted for 24 days. how many soldiers were transferred

Answer 1

Answer:

Step-by-step explanation:

No of soldier be a

x|no of soldiers|900|a |

y|no of days |18 | 24|

As it's indirect proportion, x1y1=x2y2

=900*18= 24a

=900*18/24=a

a=825

Answer 2

Answer: 225

Given

Circumstance 1

Number of soldiers(N₁)= 900

Number of days food lasted for 900 soldiers (T₁)= 18

Circumstance 2

Number of soldiers(N₂)=N₂

Number of food lasted for N₂ soldiers(T₂)= 24

To find

The number of soldiers transferred= N₁ -N₂

Solution

The amount of food is constant in both the circumstances

Therefore N₁T₁= N₂T₂

Applying the values from the question

900× 18= N₂× 24

900×18= N₂

    24

N₂= 675

The number of soldiers transferred(N₁ - N₂)= 900 - 675=225

Therefore, the number of soldiers transferred is 225