Question

When a line is maintained using 45 students in a square pattern, 6 students exceeded, what is the total number of students?​

Answer 1

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we know that area of square =side^ 2 So no. of students in the line if side was x (let) No. of students = x ^ 2 + 24 (as there were 24 extra students)

No. Of students after increasing 1 student in are = (x + 1) ^ 2 - 25 (as there were 25 less students)

So x ^ 2 + 24 = (x + 1) ^ 2 - 25 x ^ 2 + 24 = x ^ 2 + 1 + 2x - 25 x ^ 2 - x ^ 2 + 24 + 25 - 1 = 2x

48 = 2x

So x = 24

So no. Of students = x^ 2 +24=24^ 2 +24=576+24=600

So no. Of students =600