I started with:

    puts "Hello there, and what's your favorite number?"
    favnum = gets.to_i
    puts "Your favorite number is #{favnum}?" " A better favorite number is #{favnum + 1}!"
    puts "Now, what's your favorite number greater than 10?"
    favnumOverTen = gets.to_i
    if favnumOverTen < 10
        puts "Hey! I said GREATER than 10! Try again buddy."
    else
        puts "Your favorite number great than 10 is #{favnumOverTen}?"
        puts "A bigger and better number over 10 is #{favnumOverTen * 10}!"
puts "It's literally 10 times better!"
    end

That worked fine, but if the user entered a number less than 10 the program ended. I want the user to be prompted to try again until they enter a number greater than 10. Am I supposed to do that with a loop?

Here's what I took a swing at, but clearly it's wrong:

    puts "Hello there, and what's your favorite number?"
    favnum = gets.to_i
    puts "Your favorite number is #{favnum}?" " A better favorite number is #{favnum + 1}!"
    puts "Now, what's your favorite number greater than 10?"
    favnumOverTen = gets.to_i
    if favnumOverTen < 10
    loop.do
        puts "Hey! I said GREATER than 10! Try again buddy."
        favnumOverTen = gets.to_i
    until favnumOverTen > 10
    else
        puts "Your favorite number great than 10 is #{favnumOverTen}?"
        puts "A bigger and better number over 10 is #{favnumOverTen * 10}!"
puts "It's literally 10 times better!"
    end