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asambeis [7]
3 years ago
12

A radio station plays yesterday by the beatles once every 2 days. Another station plays the same song once every 3 days. How man

y times in 30 days will both radio stations play the same song on the same day?
Mathematics
1 answer:
mel-nik [20]3 years ago
8 0

Both radio stations will play the same song on the same day <u>5 times</u> in 30 days.

<u><em>Explanation</em></u>

A radio station plays yesterday by the Beatles once every 2 days. Another station plays the same song once every 3 days.

For finding the day on which both radio stations will play the same song, we will just <u>find the LCM(Least Common Multiplier) of 2 and 3</u>. So, the LCM will be 6.

That means, <u>on every 6th day, both radio stations will play the same song</u>.

So, the number of times that both radio stations will play the same song on the same day in 30 days =(\frac{30}{6})= 5

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