Question

three balls toll at intervals of 9 12 15 minutes respectively if they start rolling together after what time will the next toll together​

Answer 1

Answer:

Three bell toll together after 180  minutes .

Step-by-step explanation:

Given Problem:

Three balls toll at intervals of 9 12 15 minutes respectively if they start rolling together after what time will the next toll together.

Solution:​

This problem can be solve by concept of L.C.M.    (Least Common Factor)

So,

We have to find the L.C.M of intervals:

9 , 12 and 15 product of prime Factors,

9 = 3 × 3

12 = 2 × 2 × 3

15 = 3 × 5

LCM ( 9 , 12 , 15 ) = 3 × 3 × 2 × 2 × 5 = 180

Hence,

Three balls toll together after 180 minutes .

Answer 2

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!