When the numerator of a fraction is increased by 7 and denominator is increased by 13, the resulting number is equivalent to the obtained when the numerator is decreased by 2 and denominator is decreased by 11. The sum of numerator and denominator is 24. Find the fraction

1
\(\frac{1}{{23}}\)
2
\(\frac{7}{{17}}\)
3
\(\frac{11}{{13}}\)
4
\(\frac{5}{{19}}\)

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