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