The average of 10 numbers is 50. If 2 new numbers are added, the total is increased by 100. 4 existing numbers are taken out, the total is decreased by 50%. Find the average of the new numbers.

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The average of 10 numbers is 50. If 2 new numbers are added, the total is increased by 100. 4 existing numbers are taken out, the total is decreased by 50%. Find the average of the new numbers.