One neon sign flashes every 6 seconds . Another neon sign flashes every 8 seconds . If they flash together and you begin counting seconds , how many seconds after they flash together will they next flash together
LCM(6,8) = 24
Well, it seems like these signs have a pretty complicated love-hate relationship going on. To find out when they will flash together again, we'll need to find their least common multiple (LCM) of the flashing intervals.
The LCM of 6 and 8 is 24 (6 × 4 = 8 × 3 = 24). So, after they flash together, it will take exactly 24 seconds for them to flash together again.
Now, while you're waiting for the grand reunion, you can try juggling, practicing your breakdancing moves, or maybe even writing a novel. Trust me, time flies when you're having fun!
To find out when the two neon signs will flash together again, we need to find the least common multiple (LCM) of 6 seconds and 8 seconds.
Step 1: List the multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, ...
Step 2: List the multiples of 8: 8, 16, 24, 32, 40, 48, ...
From the lists above, we can see that the first occurrence of a common multiple is 24 seconds. Therefore, the two neon signs will next flash together after 24 seconds.
To find out when the two neon signs will next flash together, we need to find the smallest common multiple of the two flashing intervals (6 seconds and 8 seconds).
First, let's determine the multiples of 6 seconds: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Now, let's determine the multiples of 8 seconds: 8, 16, 24, 32, 40, 48, 56, 64, ...
We can see that the first time both numbers appear in the lists is at 24 seconds. Hence, the two neon signs will next flash together after 24 seconds.
In conclusion, they will next flash together 24 seconds after they flash together initially.