CBSE Class 10 Answered

Let X be the number of students/rowsand N  be the total number of students.

Number of rows = Number of students per row, since it's a square arrangement.

Number of students in the square = X²

Number of students leftover = 24

And they must add to total number of students, N.

Therefore,

X² + 24 = N

Similarly,

(X+1)² - 25 = N

X² + 2X + 1 - 25 = N = X² + 24

2X - 24 = 24

X = 24.

Hence total number of students X² + 24 = 600

There are 600 students.

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Team,

TopperLearning.