ram rajan and ronny visit old age home every sunday the room in the home are between 150 to 200. ram visit room having multiple by 3, rajan visit room having multiple of 5. ronny visit to all room. which room all the 3 visit
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Given, the 3 friends visit room between numbered 150 and 200
That is they visit the rooms from 151 to 199.
Ram visits rooms which are multiples of 3.
Raman visits rooms which are multiples of 5.
Ronny visits all the rooms.
Now we have to find LCM for only 3 and 5 as Ronny visits all the rooms
LCM of 3 and 5 is 15. (∵ LCM of two primes is the product of those two primes)
So room numbers which are multiples of 15 are visited by all the 3 friends.
Multiples of 15 between 150 and 200 are:
165, 180 and 195
∴165, 180 and 195 are the room numbers that all the three friends visit.
Hope my answer helps you..
That is they visit the rooms from 151 to 199.
Ram visits rooms which are multiples of 3.
Raman visits rooms which are multiples of 5.
Ronny visits all the rooms.
Now we have to find LCM for only 3 and 5 as Ronny visits all the rooms
LCM of 3 and 5 is 15. (∵ LCM of two primes is the product of those two primes)
So room numbers which are multiples of 15 are visited by all the 3 friends.
Multiples of 15 between 150 and 200 are:
165, 180 and 195
∴165, 180 and 195 are the room numbers that all the three friends visit.
Hope my answer helps you..
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