If the numerator of a fraction is increased by 2 and denominator is decreased by 1, it becomes 23. If the numerator is increased by 1 and denominator is increased by 2, it becomes 13. Find the fraction.
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In a fraction, if numerator is increased by 2 and denominator is decreased by 3, then the fraction becomes 1. Instead, if numerator is decreased by 2 and denominator is increased by 3, then the fraction becomes 83.
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