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.
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)
Sometimes it is useful to know how large your zero is.
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