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# Answer to Question #21161 in C++ for huzaifa muaz

Question #21161
Let n = akak-1ak-2. . .a1a0 be an integer and t = a0 - a1 + a2 -    + (-1)k ak. It
is known that n is divisible by 11 if and only if t is divisible by 11. For
example, suppose that n = 8784204. Then, t = 4 - 0 + 2 - 4 + 8 - 7 + 8 =
11. Because 11 is divisible by 11, it follows that 8784204 is divisible by 11.
If n ¼ 54063297, then t = 7 - 9 + 2 - 3 + 6 - 0 + 4 - 5 = 2. Because 2 is not divisible by 11, 54063297 is not divisible by 11.Write a program that
prompts the user to enter a positive integer and then uses this criterion to
determine whether the number is divisible by 11.
Expert's answer
#include <iostream>
#include <conio.h>

using namespace std;

void main()
{
long long number;
cout << "Enter a positive integer: ";
cin >> number;

char digit;
char sign = 1;
int sum = 0;

while (number > 0)
{
digit = number % 10;
number /= 10;

sum += sign * digit;
sign *= -1;
}

if (sum % 11 == 0)
cout << number << " is divisible by 11." << endl;
else
cout << number << " is not divisible by 11." << endl;
getch();
}

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