an army contingent has 9820 men in total they are required to stand for inspection in equal numbers of rows and column find the number of mens in each row and column how many are left out
Answers
Step-by-step explanation:
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Concept-
Let the number of rows and number of columns be and then use the formula : Total number of men = row × column
Given-
There are total 9820 men in army contingent.
Find-
Find the number of men in each row and column and number of men left out.
Solution-
The number of rows and columns are equal.
Hence, square of a number should be equal to 9280.
But, 9280 is not a square number, hence we find the closest square number, which is 99² = 9801
So, the number of men in each row and column is 99, and the number of men left out = (9820 - 9801) = 19
Therefore, number of men in each row and column is 99 and the number of men left out is 19.
OTHER METHOD:
Let number of rows and number of columns be x
Total number of men = row × column
9820 = x × x
9820 = x²
But, 9820 is not a perfect square , so we find the closest perfect square , which is 99² = 9801
Number of men in each row and column = 99 men
Number of men left out = 9820 - 9801 = 19 men
Therefore, number of men in each row and column is 99 and the number of men left out is 19.
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