. Students of a class are made to stand in rows


If one student is extra in a row, there would be 2 rows less. If one student is less in row, there would be 3 rows more. Find the total number of students in the class.

A: 55

B: 30

C: 115

D: 60

 

Best Answer

Explanation:

Let the number of rows be x and the number of students is y in a row.

Then total number of students = xy

A/C to question,

(x - 2)(y + 1) = xy

xy + x - 2y - 2 = xy

x - 2y = 2 -------(1)

Again, (x + 3)(y - 1) = xy

xy - x + 3y - 3= xy

-x + 3y = 3 -------(1)

Solve equations (1) and (2),

y = 5 and put it equation (1)

x = 12

Hence, total number of students = xy = 12 × 5 = 60

Final Answer

Total number of students = xy = 12 × 5 = 60

Option (D) is correct.


 

Talk to Our counsellor