There are two bells in a temple.Both the bells toll at a regular interval of 66.66s and 50s .After how much time will they toll together for the first time? want full explanation with correct answer!
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Answer:
The answer is 200 seconds
Step-by-step explanation:
Bell 1 tolls after every 66.66 seconds
Bell 2 tolls after every 50 seconds
The time at which the bells will toll together = LCM of 66.66 and 50
Since the answer is in integers its better to assume 66.66 as a recurring decimal.
66.666 = 600/9 = 200/3 50 = 50/1
LCM of fractions = LCM of numerators/ HCF of denominators
Hence,
LCM = LCM of 200 and 50/ HCF of 3 and 1
= 200 / 1
= 200 seconds
Hence;
the 2 bells will toll after 200 seconds for the first time.
That's it !!! Hope it helped :)
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