Question

A commander decorated his soldiers in a solid square and saw that | 15 soldiers are more. If the number of soldiers is 18240, how many soldiers are there in each line?​

Answer 1

Answer:

There were 135 soldiers in each line.

Step-by-step explanation:

Now, let's first analyse the Question,

The Commander arranged his soldiers in a square formation,

From this we can understand that the number of soldiers in each row and each column are equal, as they have been arranged in a square fashion.

Again, after arranging the soldiers this way, there were 15 soldier extra,

Also,

The total number of soldiers = 18240

Now, let's begin,

Let there be x soldiers in each row, thus there are x soldiers in each column as well.

So,

Total soldiers in the arrangement = Rows × Columns

Total soldiers in the arrangement = x × x

Total soldiers in the arrangement = x²

Then, there was a left over of 15 soldiers,

Thus,

Total soldiers = x² + 15

But we are given,

Total soldiers = 18240

Hence,

x² + 15 = 18240

Solving for x,

x² = 18240 - 15

x² = 18225

x = √(18225)

x = 135

Thus,

There were 135 soldiers in each row and each column.

Hence,

There were 135 soldiers in each line.

Hope it helped and believing you understood it........All the best