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Question

An army general arranges his soldiers in such a way that the number of rows is the same as the number of columns. In doing so, he finds that 55 soldiers are left out. If the total number of soldiers is 6455, find the number of soldiers in each row.

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Solution

Total number of soldiers =6455
Number of soldiers left out =55
Let the number of rows =x
Let the number of columns =x
Number of soldiers remained =645555=6400
Now, No. of soldiers remained = No. of columns × No. of rows
x2=6400
x=6400
x=80
Number of columns and number of rows =80


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