rahul goes to mumbai after 24 days for one day and amit goes to mumbai every 36 days also for only one day. Today both rahul and amit are in Mumbai. after how many days will they be in mumbai again at the same time?
Answers
72 days
just take lcm of 24 and 36
Given : Rahul goes to Mumbai after 24 days for one day and
Amit goes to Mumbai every 36 days also for only one day.
Today both Rahul and amit are in Mumbai.
To Find : After how many days will they be in Mumbai again at the same time?
Solution:
Rahul goes every 24 days
Amit goes every 36 days
To Find that after How many days they go together
need to find LCM of 24 and 36
LCM - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.
LCM = product of each factor of highest power
24 = 2 * 2 * 2 * 3 = 2³ * 3¹
36 = 2 * 2* 3 * 3 = 2² * 3²
LCM = 2³ * 3²
= 8 * 9
= 72
Hence After 72 days they will be in Mumbai again at the same time.
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