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A student opened her math book and computed the sum of the numbers on two facing pages. Then she turned to the next page and computed the sum of the...

A student opened her math book and computed the sum of the numbers on two facing pages. Then she turned to the next page and computed the sum of the numbers of these two facing pages. Finally, she computed the product of teh two sums, and her calculator displayed the number 62,997. What were the four page numbers?

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