Arithmetic

Ghajini and Rajni love solving math problems and each one of  them solves them at a constant rate. Ghajini can solve a particular assignment containing math problems  working alone in 6 hours work whereas Rajni can solve the same assignment in 8 hours. If they solve together, they can discuss the problems and this helps to enhance their efficiency in solving problems . So, their combined  problem solving rates is the sum of their individual rates plus 2 additional problems per hour. Working together, they complete the same problem assignment  in 3 hours. How many problems are on the assignment?

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