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Code

  ///Name: Conner Wygaerts
///Period: 6
///Project Name: MorePuzzles
///File Name: MorePuzzles.java
///Date Finished: 5/5/16


import java.util.Scanner;

public class MorePuzzles
{
    public static void main( String[] args ) throws Exception
    {
    
                Scanner k = new Scanner(System.in);
            int choice;
            
            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 minus number reversed which equals sum of digits");
                System.out.println("3) Quit\n");
                choice = k.nextInt();
                System.out.println();
                
                if (choice == 1)
                    fiftyTen();
                else if (choice == 2)
                    reverseSum();
            } while ( choice != 3 );
        }
        
        public static void fiftyTen()
        {
            for (int a = 1; a < 6; a++)
                for (int b = 0; b < 10; b++)
                {
                    int c = a + b;
                    
                    if ( c > 10 )
                    {
                        int d = a*10 + b;
                        
                        if ( a < 5 || b < 7 )
                            System.out.println( d );
                    }
                }
        
        }
        
        public static void reverseSum()
        {
            for (int a = 1; a < 10; a++)
                for (int b = 0; b < 10; b++)
                {
                    int c = a*10 + b;
                    int d = b*10 + a;
                    int e = a + b;
                    
                    if ( c - d == e)
                        System.out.println( c );
                    
                }
        }
    }
  

Picture of the output