If 1 is added to the numerator and 5 is added to the denominator of a fraction, it becomes \(1\over3\). If 2 is subtracted from the numerator and 2 is added to the denominator of the original fraction, it becomes \(1\over5\). What is the sum of the numerator and the denominator of the original fraction?

1
19
2
17
3
15
4
18

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