To celebrate International Yoga day, the students of Sanskriti School gathered in a ground where the

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21 Jun 2022 Arithmetic

To celebrate International Yoga day, the students of Sanskriti School gathered in a ground where they are arranged in rows to perform Yogasanas. If 2 students are extra in a row, there would be 3 row less. If 4 students are less in a row, there would be 9 rows more. Find the number of students in a school.

OPtion

1) 448
2) 532
3) 450
4) 384
5) 420
6) 468
7) 480
8) 432
9) 396
10) None of these

Solution

Let the number of rows be x and number of students in a row be y.
Total students of the school= Number of rows * Number of students in a row = xy
Case 1:
Total number of students=(x−3)(y+2)
⇒ xy=(x−3)(y+2)
2x−3y = 6 -----(i)
Case 2:
Total number of students=(x+9)(y−4)
⇒ xy=(x+9)(y-4)
-4x+9y = 36 -----(ii)
Solving equations (i) & (ii), we get, x=27, y=16
.'. Total students = xy = 27*16 = 432
Correct Option 8)

Correct Option: 8 Best Solution (2)

G.S.Kantharao   2 years AGO

Let rows,and students in a row =x,y
Given
(y+2)(x-3)=(y-4)(x+9)=xy
xy+2x-3y-6=xy-4x+9y-36=xy
2x-3y=6---(1)
-4x+9y=36--(2)
4x-6y=12--(1)*2
3y=48=>y=16,x=27
xy=27*16=432
My option is 8👈

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RAMADURAI NATESAN   2 years AGO

nr = (n+2)(r - 3) =(n - 4) ( r + 9 ).
Solving , n = 16 , r = 27. Total = 16*27 = 432

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