Java HW- counting words in a file

For my Java homework, I must count words in a file. I know how to count whitespace and non-whitespace, but not words. The number of words is not necessarily the number of spaces + 1. If there was three spaces, there could be two, three, or four words, so doing that won't work.

Code:

package files;
import java.io.*;
public class Files2 {

	/** * This class demonstrates file I/O using streams and readers */
	// says if character is whitespace
	static boolean iswhite(int x) {
		return((x == 32) || (x == 9 ) ||
				(x == 13) || (x == 10));
	}

	public static void main(String[] args) {
		// Declare the filename we will be looking for

		String filename = "T:/Lorem.txt";

		FileInputStream stream;

		// the stream we will read from
		try {
			// Open the file. Reading right to left, we
			// (1) create a FileInput Stream, pointing to the file;
			// (2) assign that stream to the name 'stream'
			stream = new FileInputStream(filename);
		}catch (IOException e) {
			System.	out.println("File not found: " + filename);
			return; // abort on error
		}

		// Here the file was opened. Read in all the characters
		// Connect a stream reader to the stream.

		InputStreamReader reader = new InputStreamReader(stream);
		// read in all the characters until we hit end-of-file, which is
		// indicated by a negative return value

		try{
			int answer = 0; //calculates number of characters
			int answer2 = 0; //calculates number of whitespace
			int answer3 = 0; //calculates number of words
			int answer4 = 0; //calculates length of longest word
			boolean lastchar = true;
			int charread; // the character we read. Note it is returned as an int
			while((charread = reader.read()) >= 0){ //looks at every character
				if (iswhite(charread)) { //calls method which calc whitespace
					answer2 = answer2 + 1;
				}

				if (!iswhite(charread)) { //calls method which calc number of words
					answer3 = answer3 + 1;
				}

				answer = answer + 1;

				lastchar = iswhite(charread);

				// here we can look at the character read
			}

			System.out.println("Total number of characters: " + answer);
			System.out.println("Total number of whitespace: " + answer2);
			System.out.println("Total number of non-whitespace: " + answer3);
			
		} catch (IOException e) {
			System.	out.println("File not found: " + filename);
			return; // abort on error
		}

		// close the input file
		try {
			stream.close();

		} catch (IOException e) {
			System.out.println("Error closing file: " + filename);
			return; // abort on error
		}

	}

}