three Bells toll at intervals of 9 12 15 minutes respectively if they start tolling together after what time will the next toll together
Answers
Answer:
They will again hit together after 36 minutes.
Step-by-step explanation:
The pattern is that they are increasing by 3 minutes everytime.
As there are 3 bells, We have to check whether the time is a multiple of 1,2 as well as 3.
Step 1 : 9 + 12 = 21 minutes.
21 minutes is divisible by 1 and 3 but not 2.
So, 21 minutes isn't the answer.
Step 2 : 21 + 15 = 36 minutes.
36 minutes is divisible by 1, 2 as well as 3.
Therefore, 36 minutes is the answer.
You may think why I am checking these minutes' divisibility with 1,2 and 3. This is because as there are 3 bells, we are using 1,2and3.
1 represents bell no. 1
2 represents bell no. 2
And 3 represents bell no. 3 .
Is there would be 4 bells, then we would have worked with 1,2,3 and 4.
1 would represent bell 1
2 would represent bell 2
3 would represent bell 3
and 4 would represent bell 4.
Good Question.
Hope it helped you.
Answer:
Given that three bells toll at intervals of 9,12,15 minutes.
Prime factorization of 9 = 3 * 3
Prime factorization of 12 = 2 * 2 * 3
Prime factorization of 15 = 3 * 5
LCM(9,12,15) = 3 * 3 * 2 * 2 * 5
= 180.
Therefore the bells will ring together after 180 minutes (or) 3 hours.
Hope this helps!
Read more on Brainly.in - https://brainly.in/question/2272142#readmore
Step-by-step explanation: