There are three bells. Bell A ring every 5 minutes, Bell B rings every 10
minutes and bell C rings every 15 minutes. The bells ring together at 12:40pm.
a) Write the H.C.F means.
b) Find the two common multiples of 10 and 15.
c) When the next time they will ring together?
Answers
Step-by-step explanation:
In order to find when all three will ring together again. We have to find the LCM of 3,6 and 15
3=3
6=2×3
15=3×5
Therefore, LCM of 3,6 and 15 is
LCM=2×3×5=30
Hence, All three bell will ring together after 30 Minutes ,i.e.,at 1:10pm
a. HCF:Step-by-step explanation:
5=1×5 10=5×2 15=5×3 COMMON FACTOR IS 5, HENCE THE HCF:5 b.10=10,20,30,40,50,60,70,80,90..... 15=15,30,45,60,75,90........ FIRST TWO COMMON ACTORS ARE 30 AND 60 c.12:40 adding 5, 5 minutes comes 12:45,12:50.12;55,1:00,1:05,1:10....... 12:40 adding 10,10 minutes comes 12:50,1;00,1;10,1;20............. 12;40 adding 15,15 minutes comes 12:55, 1:10,1:25................... the first common number is 1:10 hence,the next time it will ring at 1:10pm