Code

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

        import java.util.Scanner;
        public class Puzzles
        {
            public static void main( String[] args )
            {
                Scanner keyboard = new Scanner(System.in);
                int response = 0;
                do
                {
                    System.out.println();
                    System.out.println("1) Find two digit numbers <= 56 with sums of digits > 10");
                    System.out.println("2) Find two digit number reversed which equals the sum of digits");
                    System.out.println("3) Quit");
                    System.out.print("\n>");
                    response = keyboard.nextInt();
                    System.out.println();
                    
                    if( response == 1 )
                        first();
                    else if( response == 2 )
                        second();
                    else if( response == 3 )
                        System.out.println("Goodbye.");
                    else 
                        System.out.println("Error.");
                }while( response != 3 );
            }
            public static void first()
            {
                for( int a = 1; a <= 5; a++ )
                {
                    for( int b = 0; b <= 9; b++ )
                    {
                        int n1 = (a * 10) + b;
                        int sum = a + b;
                        
                        if( sum > 10 && n1 <= 56 )
                        {
                            System.out.print(n1 + " ");
                        }
                    }
                }
                System.out.println();
            }
            public static void second()
            {
                for( int c = 1; c <= 9; c++ )
                {
                    for( int d = 0; d <= 9; d++ )
                    {
                        int num = (c * 10) + d;
                        int rev = (d * 10) + c;
                        
                        int dif = num - rev;
                        int sum2 = c + d;
                        
                        if( dif == sum2 )
                        {
                            System.out.print(num + " ");
                        }
                    }
                }
                System.out.println();
            }
        }

             
    
Picture of the output