Students of a class are made to stand in rows. If onestudent is extra

1.	Students of a class are made to stand in rows. If onestudent is extra in a row, there would be 2 rows less.If one student is less in a row there would be 3 rowsmore. Find the number of student in the class. 1037 pm
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

Students of a class are made to stand in rows. If onestudent is extra in a row, there would be 2 rows less.If one student is less in a row there would be 3 rowsmore. Find the number of student in the class. 1037 pm

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