Code

   
    /// Name: Afaf Nabeeha
    /// Period: 7
    /// Program Name: Number Puzzles III: Armstrong Numbers
    /// File Name: Armstrong.java
    /// Date Finished: 3/8/2016 public class Armstrong

        import java.util.Scanner;
            
            public class Armstrong
            {
                public static void main(String[] args)
                {
                    Scanner kb = new Scanner(System.in);
                    
                    int choice;
                    
                    do 
                    {
                        System.out.println("1.) Find two digit numbers <= 56 with sums of digits > 10");
                        System.out.println("2.) Find two digit number minus number reversed which equals sum of digits");
                        System.out.println("3.) Quit");
                        System.out.println("");
                        System.out.print("> ");
                        choice = kb.nextInt();
                        
                        if (choice == 1)
                            f1();
                        else if (choice == 2)
                            f2();
                        else
                            System.out.print("");
                    } while (choice != 3);
                }
                
                public static void f1()
                {
                    for (int a = 1; a <= 5; a++)
                    {
                        for (int b = 0; b < 10; b++)
                        {
                            int n1 = (10 * a) + b;
                            
                            int s = a + b; 
                                
                            if (s > 10 && n1 <= 56)
                            {
                                System.out.println(a + "" + b);
                            }
                        }
                    }
                }
                
                public static void f2()
                {
                    for (int a = 1; a < 10; a++)
                    {
                        for (int b = 0; b < 10; b++)
                        {
                            int n1 = (a * 10) + b;
                            int n2 = (b * 10) + a;
                            
                            if (n1 - n2 == a + b)
                            {
                                System.out.println(a + "" + b);
                            }
                        }
                    }
                }
            }
             
    
Picture of the output