Prime Curios!: 97

97
(another Prime Pages' Curiosity)

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The number of ways to form two fractions that add up to 1 if all distinct digits 0 through 9 are used in each case. There is only one such case that uses the number 97. Can you find it?

Submitted: 2009-09-16 19:19:37; Last Modified: 2009-09-16 19:53:20.