There are two fractions $$f_1$$ and $$f_2$$, both in their lowest terms. The numerator of $$f_2$$ is 3 more than the numerator of $$f_1$$. The denominator of $$f_1$$ is 20 less than the denominator of $$f_2$$. In $$f_1$$, if we subtract twice the numerator from the denominator, we get 3. In $$f_2$$, if three times the numerator is subtracted from the denominator, we get 2. Find the value of $$47f_2 - 27f_1$$.