Consider two numbers. If 1 is added to the first and 1 is subtracted from the second, the product of


Question: Consider two numbers. If 1 is added to the first and 1 is subtracted from the second, the product of the new numbers is 4 less than the product of the original numbers. If, using the original numbers, 1 is subtracted from the first and
2 is added to the second the product of these new numbers is 16 more than that of the original numbers. What are the numbers? Formulate the problem. Solving it gets extra credit.

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