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When 3 is added to both numerator and the denominator of a certain fraction, its value is decreased by 9/40. However, when 3 is subtracted from both, its value is increased by 9/10. Find the denominator of the original fraction.

When 3 is added to both numerator and the denominator of a certain fraction, its value is decreased by 9/40. However, when 3 is subtracted from both, its value is increased by 9/10. Find the denominator of the original fraction.

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