20 games, huh?
Alright. Starting from the bottom…at bronze 5, 0 LP…
You can earn up to 25 LP per game, assuming your MMR is above your rank. That's a minimum of 4 matches to go from 0 to 100. It takes 2 wins to climb a division, and 3 to climb a tier. That means 45+24+3, or 20+8+3 (31) wins, at the absolute minimum, to escape.
Of course, that's assuming a 100% win rate, which requires you to be several ranks in skill above your current one. In order to 100% Bronze, you'd have to, at the minimum, be a Platinum 2 smurf. Since most people aren't, you can expect a maximum of a 65% win rate, assuming they're proficient in every role, and have perfect runes and masteries. I do not have the IP for runes (a lack of grinding), so you can expect a maximum of 55-60%, discounting things like an auto balance (Riot's way to prevent too-fast climbing) and bad luck. That means at least 44-45 wins for me to get out (actually works out to 43.4 and 44.95 wins, and discounts the discrepancy between wins and losses, but I'm in a bit of a hurry). That's over twice what you said it "should" take. Hell, even a perfect run would require over 50% more.
So you, sir, are not only a disgusting rank-shamer, but a liar as well.
On a probably related note, why is my comment calling you out on rank-shaming at a -1?