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# Check whether a + b = c or not after removing all zeroes from a,b and c

• Last Updated : 03 May, 2021

Given two integers a and b, the task is to add them to get c. After that remove zeroes from a, b and c and check for modified values if a + b = c then return “YES” else return “NO”.
Examples:

Input: a = 101, b = 102
Output: YES
101 + 102 = 203.
After removing all zeroes from a, b and c, a = 11, b = 12 and c = 23
Now check if a + b = c i.e. 11 + 12 = 23 . So print Yes.
Input: a = 105, b = 108
Output: NO
After removing all zeroes a + b!= c, therefore the output is NO.

Approach:

• Create a function to removeZero from the number n.
• Check if(removeZero(a)+removeZero(b)==removeZero(a+b)) then print YES else print NO

Below is the implementation of the above approach.

## C++

 `// C++ program to check the sum after``// Removing all zeroes is true or not``#include ``using` `namespace` `std;` `// Function to remove zeroes``int` `removeZero(``int` `n)``{``    ``// Initialize result to zero holds the``    ``// Result after removing zeroes from no``    ``int` `res = 0;` `    ``// Initialize variable d to 1 that holds``    ``// digits of no``    ``int` `d = 1;` `    ``// Loop while n is greater then zero``    ``while` `(n > 0) {` `        ``// Check if n mod 10 is not equal to``        ``// zero``        ``if` `(n % 10 != 0) {` `            ``// store the result by removing zeroes``            ``// And increment d by 10``            ``res += (n % 10) * d;``            ``d *= 10;``        ``}` `        ``// Go to the next digit``        ``n /= 10;``    ``}` `    ``// Return the result``    ``return` `res;``}` `// Function to check if sum is true after``// Removing all zeroes.``bool` `isEqual(``int` `a, ``int` `b)``{``    ``// Call removeZero() for both sides``    ``// and check whether they are equal``    ``// After removing zeroes.` `    ``if` `(removeZero(a) + removeZero(b) == removeZero(a + b))``        ``return` `true``;` `    ``return` `false``;``}` `// Driver code``int` `main()``{``    ``int` `a = 105, b = 106;``    ``isEqual(a, b) ? cout << ``"Yes"``                  ``: cout << ``"No"``;` `    ``return` `0;``}`

## Java

 `// Java program to check the sum after``// Removing all zeroes is true or not``public` `class` `GfG {``    ` `    ``// Function to remove zeroes``    ``public` `static` `int` `removeZero(``int` `n)``    ``{``        ``// Initialize result to zero holds the``        ``// Result after removing zeroes from no``        ``int` `res = ``0``;``      ` `        ``// Initialize variable d to 1 that holds``        ``// digits of no``        ``int` `d = ``1``;``      ` `        ``// Loop while n is greater then zero``        ``while` `(n > ``0``) {``      ` `            ``// Check if n mod 10 is not equal to``            ``// zero``            ``if` `(n % ``10` `!= ``0``) {``      ` `                ``// store the result by removing zeroes``                ``// And increment d by 10``                ``res += (n % ``10``) * d;``                ``d *= ``10``;``            ``}``      ` `            ``// Go to the next digit``            ``n /= ``10``;``        ``}``      ` `        ``// Return the result``        ``return` `res;``    ``}``    ` `    ``// Function to check if sum is true after``    ``// Removing all zeroes.``    ``public` `static` `boolean` `isEqual(``int` `a, ``int` `b)``    ``{``        ``// Call removeZero() for both sides``        ``// and check whether they are equal``        ``// After removing zeroes.``      ` `        ``if` `(removeZero(a) + removeZero(b) == removeZero(a + b))``            ``return` `true``;``      ` `        ``return` `false``;``    ``}``    ` `     ``public` `static` `void` `main(String []args){``        ` `        ``int` `a = ``105``, b = ``106``;``        ` `        ``if` `(isEqual(a, b) == ``true``)``            ``System.out.println(``"Yes"``);``        ``else``            ``System.out.println(``"No"``);``     ``}``}``  ` `// This code is contributed by Rituraj Jain`

## Python3

 `# Python 3 program to check the sum after``# Removing all zeroes is true or not` `# Function to remove zeroes``def` `removeZero(n):``    ` `    ``# Initialize result to zero holds the``    ``# Result after removing zeroes from no``    ``res ``=` `0` `    ``# Initialize variable d to 1 that``    ``# holds digits of no``    ``d ``=` `1` `    ``# Loop while n is greater then zero``    ``while` `(n > ``0``):``        ` `        ``# Check if n mod 10 is not equal``        ``# to zero``        ``if` `(n ``%` `10` `!``=` `0``):``            ` `            ``# store the result by removing``            ``# zeroes And increment d by 10``            ``res ``+``=` `(n ``%` `10``) ``*` `d``            ``d ``*``=` `10` `        ``# Go to the next digit``        ``n ``/``/``=` `10` `    ``# Return the result``    ``return` `res` `# Function to check if sum is true``# after Removing all zeroes.``def` `isEqual(a, b):``    ` `    ``# Call removeZero() for both sides``    ``# and check whether they are equal``    ``# After removing zeroes.``    ``if` `(removeZero(a) ``+``        ``removeZero(b) ``=``=` `removeZero(a ``+` `b)):``        ``return` `True` `    ``return` `False` `# Driver code``a ``=` `105``b ``=` `106``if``(isEqual(a, b)):``    ``print``(``"Yes"``)``else``:``    ``print``(``"No"``)` `# This code is contributed``# by sahishelangia`

## C#

 `// C# program to check the sum after``// Removing all zeroes is true or not``using` `System;``class` `GFG``{` `// Function to remove zeroes``public` `static` `int` `removeZero(``int` `n)``{``    ``// Initialize result to zero holds the``    ``// Result after removing zeroes from no``    ``int` `res = 0;` `    ``// Initialize variable d to 1 that holds``    ``// digits of no``    ``int` `d = 1;` `    ``// Loop while n is greater then zero``    ``while` `(n > 0)``    ``{` `        ``// Check if n mod 10 is not equal to``        ``// zero``        ``if` `(n % 10 != 0)``        ``{` `            ``// store the result by removing zeroes``            ``// And increment d by 10``            ``res += (n % 10) * d;``            ``d *= 10;``        ``}` `        ``// Go to the next digit``        ``n /= 10;``    ``}` `    ``// Return the result``    ``return` `res;``}` `// Function to check if sum is true after``// Removing all zeroes.``public` `static` `bool` `isEqual(``int` `a, ``int` `b)``{``    ``// Call removeZero() for both sides``    ``// and check whether they are equal``    ``// After removing zeroes.` `    ``if` `(removeZero(a) +``        ``removeZero(b) == removeZero(a + b))``        ``return` `true``;` `    ``return` `false``;``}` `// Driver Code``public` `static` `void` `Main()``{``    ``int` `a = 105, b = 106;``    ` `    ``if` `(isEqual(a, b) == ``true``)``        ``Console.WriteLine(``"Yes"``);``    ``else``        ``Console.WriteLine(``"No"``);``}``}` `// This code is contributed``// by Akanksha Rai`

## PHP

 ` 0)``    ``{` `        ``// Check if n mod 10 is not equal``        ``// to zero``        ``if` `(``\$n` `% 10 != 0)``        ``{` `            ``// store the result by removing``            ``// zeroes and increment d by 10``            ``\$res` `+= (``\$n` `% 10) * ``\$d``;``            ``\$d` `*= 10;``        ``}` `        ``// Go to the next digit``        ``\$n` `= ``floor``(``\$n` `/ 10);``    ``}` `    ``// Return the result``    ``return` `\$res``;``}` `// Function to check if sum is true``// after Removing all zeroes.``function` `isEqual(``\$a``, ``\$b``)``{``    ``// Call removeZero() for both sides``    ``// and check whether they are equal``    ``// After removing zeroes.``    ``if` `(removeZero(``\$a``) +``        ``removeZero(``\$b``) == removeZero(``\$a` `+ ``\$b``))``        ``return` `true;` `    ``return` `false;``}` `// Driver code``\$a` `= 105 ;``\$b` `= 106 ;` `if` `(isEqual(``\$a``, ``\$b``))``    ``echo` `"Yes"``;``else``    ``echo` `"No"``;` `// This code is contributed by Ryuga``?>`

## Javascript

 ``
Output:
`No`

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