Question

$8649$ students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

Answer 1

Step-1: Given Information

There were as many students in the row as there were rows in the lecture room

Let the number of rows in the lecture room = $n$

$\Rightarrow$Number of students seated in each row = $n$

Step-2: Find the number of students in the one row

$Numberofrowsinthelectureroom\times Numberofstudentsseatedineachrow=Totalnumberofstudents$

$n\times n=8649$

$n^2=8649$

$n=\sqrt{8649}$( applying square root on both sides )

$n=93$ ( On solving $\sqrt{8649}$we get $93$)

Hence, the number of students in each row is $n=93$