deutsche Version

Division reconstruction

Mr F. is a member of the University IT Service Unit and wants to find out how often and how long students of Faculty V are online. He sums up the durations of all their online sessions in the past year, this sum is  w  seconds. Then he divides  w  by the total number  y  of Faculty V students and gets  z , the average online time per student.  z  happens to be a natural number.

As F. deals with confidential data he writes down his calculation encoded. When he finishes this he accidentally spills some tea over the sheet. Only this remains of his calculation:



How many students has Faculty V ?

Solution