In the previous article, we have discussed Java Program to Check Bouncy Number

In this article we are going to understand what Mystery number is and how we can check whether a number is Mystery or not in Java with examples.

## Program to Check Mystery Number

**Mystery numbers** are numbers which can be equally divide into two numbers which are reverse of one other.

Example : 132: 93+39 Mystery number 154: 68+86 Mystery number 23: Not a Mystery number

In the above examples the numbers 132 and 154 are Mystery numbers as they can be divided into two numbers which are reverse of one another. However 23 not a Mystery number.

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**Approach :**

- We ask the user to enter a number and store it .
- Then we run a loop of numbers from one to the half of the entered number, make sum of the loop iterator and its reverse.
- If the sum is equivalent to the number, then the number is said to be a Mystery number.

### Program:

Let’s see the program to understand it clearly.

import java.util.Scanner; public class MysteryNumber { public static void main(String args[]) { //Taking the number as input from the user using scanner class Scanner scan = new Scanner(System.in); System.out.print("Enter a number : "); int num = scan.nextInt(); int i,j; boolean flag = false; // Loop to run and check if any number and its reverse adds upto the entered number for(i = 1; i<=num/2;i++) { j = revNum(i); if(i+j==num) { flag = true; break; } } if(flag) { System.out.println(num+" = "+i+"+"+revNum(i)); System.out.println(num+" is a Mystery number"); } else { System.out.println(num+" is Not a Mystery number"); } } // Function that returns the reverse of the number static int revNum(int num) { int rem, rev = 0; while(num>0) { rem = num%10; rev = rem+ (rev*10); num/=10; } return rev; } }

Output: Case-1 Enter a number : 132 132 = 39+93 132 is a Mystery number Case-2 Enter a number : 146 146 is Not a Mystery number

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