Question

Rajat and Kavita volunteer to work at an old age home. Suppose both of them are at the old age home on 15-12-2012 and decide that Rajat will be at the old age home every third day and Kavita will be every fourth day. At which date will they be again together at the old age home?​

Answer 1

the time they met together = 15-12-2012

rajat came after every 3 days

and kavita came after every 4 days

so the next time they will meet together is the lcm of 3 and 4 ie 12

so they will next meet on 27-12-2012

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