Phe students of a class are made to stand in rows. If number of studen

1.	Phe students of a class are made to stand in rows. If number of students in each row is reduced by 2, the numberof rows increases by 1 but if the number of students in each row is increased by 3, the number of rows isreduced by 1. Find the number of students in tie class
Answer» Let the number of students in each row be xLet the number of rows be y Then number of students = xy As per given condition(x - 2)(y + 1) = xyx - 2y = 2......(1) (x + 3)(y - 1) = xy-x + 3y = 3....(2) Add eq(1) and eq(2)y = 5 Put value of y in eq(1), we getx - 25 = 2x = 10 + 2 = 12 Therefore, total number of students = xy = 125 = 60

Phe students of a class are made to stand in rows. If number of students in each row is reduced by 2, the numberof rows increases by 1 but if the number of students in each row is increased by 3, the number of rows isreduced by 1. Find the number of students in tie class

Answer»

Let the number of students in each row be xLet the number of rows be y

Then number of students = xy

As per given condition(x - 2)(y + 1) = xyx - 2y = 2......(1)

(x + 3)(y - 1) = xy-x + 3y = 3....(2)

Add eq(1) and eq(2)y = 5

Put value of y in eq(1), we getx - 2*5 = 2x = 10 + 2 = 12

Therefore, total number of students = xy = 12*5 = 60