Pravin, Bageshri and Yash are cousins who live in the same house. Pravin is an Army Officer. Bageshri is studying in a Medical college in a another city. Yash lives in a nearby town in a hostel. Pravin can come home every 120 days. Bageshri comes home every 45 days and Yash every 30 days. All three of them left home at the same time on the 15th of June 2016. Their parents said, "we shall celebrate like a festival the day you all come home together." Mother asked Yash, "What day will that be?" Calculate the following mathematical problem using LCM method.
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Answer:
all of them will be returning on 9 august 2017.
Step-by-step explanation:
1. take out the lcm of 120,45 and 30 = 360
2. the year 2016 was of 366 days. so, subtract 360 by 366 = 6
3. now subtract 6 by (the date they all left) 15 = 9
hence, the date they all returned together is 9 august 2017
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