Question

The students of a class are made to stand in (complete) rows. If one student is extra in a row,there would be 2 rows less,and if one student is less in a row, there would be 3 rows more. Find the number if students in the class

Answer 1

Answer:

let the number of rows be x and number of students in one row be y.

therefore total number of students = xy.

if one student is extra in a row , there will be 2 rows less.

the number of students in 1 row = y+1. and the number of rows = x-2.

therefore the number of students =

f 1 student is less in a row there would be 3 rows more. therefore

adding eq (1) and (2) .

thus the number of students in the class = xy = 12*5 = 60.