A General arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers be 8160, find the number of soldiers in each row.

Given:

A General arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out.

The total number of soldiers is 8160.

To do:

We have to find the number of soldiers in each row.

Solution:

Total number of soldiers $= 8160$

Soldiers left after arranging them in the square $= 60$

This implies,

The number of soldiers  standing in the square $= 8160 - 60$

$= 8100$

Therefore,

Number of soldiers in each row $=\sqrt{8100}$

$=\sqrt{90\times90}$

$=\sqrt{90^2}$

$=90$

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Updated on: 10-Oct-2022

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