Using the concept of least common multiple, both students will miss the class on the 17th day.
What is meant by least common multiple?
The least common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b.
Student A misses the class after every 3 days.
Student B misses the class after every 5 days.
Student A and B misses the class on the same day after every 3x5 = 15 days.
Since both students missed the class on 2nd day. They will miss the class on the same day on the 2 + 15 = 17th day of the class.
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