Find ΔX which is added to numerator and denominator both of fraction (a/b) to convert it to another fraction (c/d) in C++

In this tutorial, we are going to write a program that calculates ∆ X value that satisfies the given equation. The equation is (a + ∆ X)/(b + ∆ X) = c/d.

Here, we need a little bit of math to solve the equation. And it's straightforward. Cross multiply and take ∆X to one side.

You will get the value of ∆X as (b*c-a*d)/(d-c).

We are given a, b, c, and d values. Finding \Delta XΔX value is straightforward.

Example

Let's see the code.

#include <bits/stdc++.h>
using namespace std;
int findTheXValue(int a, int b, int c, int d) {
   return (b * c - a * d) / (d - c);
}
int main() {
   int a = 5, b = 2, c = 8, d = 7;
   cout << findTheXValue(a, b, c, d) << endl;
   return 0;
}

Output

If you run the above code, then you will get the following result.

19

Conclusion

If you have any queries in the tutorial, mention them in the comment section.