Question

The number 5 is important in number theory because 5 is the length of the hypotenuse of the smallest integer-sided right triangle. A number is called good if the sum of its digits is divisible by 5. You are given an integer [Math Processing Error]. Your task is to find the [Math Processing Error] good number that is greater than a provided number [Math Processing Error] modulo [Math Processing Error] For example, 235 is a good number since the sum of all digits is 10 that is divisible by 5 whereas 231 is not a good number.

Answer 1

Explanation:

Pythagoras Theorem applied to triangles with whole-number sides patterns and properties of these integer sided right angled triangles. 10.1.1 Squares with more than 5 Pythagorean Triangles.

Answer 2

#include<iostream>

using namespace std;

int good_no(int n)

{

int s = 0;

while(n!=0)

{

 s = s+(n%10);

 n = n/10;

}

if(s%5==0)

{

 return 1;

}

else

{

 return 0;

}

}

int main()

{

int n;

cout<<"Enter a number : ";

cin>>n;

if(good_no(n)==1)

{

 cout<<n<<" is a good number.";

}

else

{

 cout<<n<<" is not a good number."<<endl;

 cout<<"Good number higher than "<<n<<" is ";

 while(good_no(n)!=1)

 {

  n++;

 }

 cout<<n;

}

return 0;

}