. 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.
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