The students of a class are made to stand in rows.If4students are ther

1.	The students of a class are made to stand in rows.If4students are there in each row, there would be 2 rowsless. If4 students are less in each row, there might be 4rows more. Find the number of students in the class.
Answer» Let number of rows is x and 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

The students of a class are made to stand in rows.If4students are there in each row, there would be 2 rowsless. If4 students are less in each row, there might be 4rows more. Find the number of students in the class.

Answer»

Let number of rows is x and 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