in a seminar,the number of participants in hindi,english and mathematics are 60,84 and 108,respectively find the miniumum numbers of rooms - Maths - Algebra

Question

in a seminar,the number of participants in hindi,english and
mathematics are 60,84 and 108,respectively find the miniumum
numbers of rooms required if in each room required if in each room
the same number of participants are to be seated and all of them
being in the same subject

Shruti Tyagi · Accepted Answer

Dear student,

The number of participants in each room must be the HCF of 60, 84 aSnd 108
So, by euclid's division lemma,  108= 84×1+24  84= 24×3+12  24=12×2  therefore, the hcf of 108 and 84 is 12
  similarly the hcf of 60 and 84 will be 12
     Therefore in each room, 12 members can sit
  Total number of participants= 60+84+108=252  Number of rooms required= total studentsnumber of students in one room  ⇒Number of rooms required=25212=21therefore, 21 rooms are required

Regards

in a seminar,the number of participants in hindi,english and mathematics are 60,84 and 108,respectively.find the miniumum numbers of rooms required if in each room required if in each room the same number of participants are to be seated and all of them being in the same subject.