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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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