Question

29. A teacher on attempting to arrange the students for mass drill in
the form of a solid square found that 24 students were left. When he
increased the size of the square by one student, he found that he was
short of 25 students. Find the number of students.
​

Answer 1

Answer:

Here's your answer in the attachment

Hope that this will help u

Answer 2

Answer:

ANSWER

We know that area of square =side

2

Let no of student in the line be x

As there where 24 extra student

so, number of student =x

2

+24

number of student after increasing 1 stident in square

=(x+1)

2

as there where 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

⇒x=24

so number of students

=x

2

+24

=24

2

+24

=576+24

=600

Hence,

number of students is 600