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.

 Live Demo

#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.

Hafeezul Kareem

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Updated on: 29-Dec-2020

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