Question

During a mass drill exercise, 6250 students of different schools are arranged in rows such that the number of students in each row is equal to the number of rows. In doing so, the instructor finds out that 9 children. are left out. Find the number of children in each row of squares.

Answer 1

Hint: We will use the concepts of basic algebra to solve the problem. Also, we will be using concepts of a number of problems to further solve the question.

Complete step-by-step solution
We have been given that during a mass drill exercise 6250 students of different schools are arranged in a row, So, Total number of students = 6250
Also, we have been given that the number of students in each row is equal to the number of rows.
So, let us take that number of rows = $x$
The number of students in each row = $x$
Now, we have been given that after making the number of students and number of rows equal, 9 students are left out. So, we can write,
$\begin{align}
  & {{x}^{2}}+9=6250 \\
 & {{x}^{2}}=6250-9 \\
 & {{x}^{2}}=6241 \\
 & x=\sqrt{6241} \\
 & x=79 \\
\end{align}$
Therefore, the number of children in each row is 79.

Note: To solve these types of questions one must be able to convert the conditions given in the question to the equation. It is important to note that we have assumed the number of rows and then used the fact that after distributing students such that the number of rows is equal to the student in each row, 9 students are left to write the equation
\[{{x}^{2}}+9=6250\]