找出当加到给定的 a : b 比例时，该比例变为 c : d 的数字
原文:https://www . geeksforgeeks . org/find-the-number-当添加到给定比率时-a-b-比率-变化-c-d/
给定四个整数 a 、 b 、 c 和 d 。任务是找到数字 X ，当加到数字 a 和 b 上时，比值从 a : b 变为 c : d 。 例:
输入: a = 3，b = 6，c = 3，d = 4 输出: 6 当 a 和 b 相加 6 时 a = 3 + 6 = 9 b = 6 + 6 = 12 并且，新的比值将为 9 : 12 = 3 : 4 输入: a = 2，b = 3，c = 4，d = 5 输出:
进场:旧比例为 a : b ，新比例为 c : d 。设所需数为 X 、 So、 (a + X) / (b + X) = c / d or、ad + dx = bc + cx or、X(d–c)= BC–ad So、X =(BC–ad)/(d–c) 以下是上述方法的实现:
C++
// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
// Function to return the
// required number X
int getX(int a, int b, int c, int d)
{
int X = (b * c - a * d) / (d - c);
return X;
}
// Driver code
int main()
{
int a = 2, b = 3, c = 4, d = 5;
cout << getX(a, b, c, d);
return 0;
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java implementation of the approach
import java.io.*;
class GFG
{
// Function to return the
// required number X
static int getX(int a, int b, int c, int d)
{
int X = (b * c - a * d) / (d - c);
return X;
}
// Driver code
public static void main (String[] args)
{
int a = 2, b = 3, c = 4, d = 5;
System.out.println (getX(a, b, c, d));
}
}
// The code is contributed by ajit..@23
计算机编程语言
# Python3 implementation of the approach
# Function to return the
# required number X
def getX(a, b, c, d):
X = (b * c - a * d) // (d - c)
return X
# Driver code
a = 2
b = 3
c = 4
d = 5
print(getX(a, b, c, d))
# This code is contributed by mohit kumar 29
C
// C# implementation of the approach
using System;
class GFG
{
// Function to return the
// required number X
static int getX(int a, int b, int c, int d)
{
int X = (b * c - a * d) / (d - c);
return X;
}
// Driver code
static public void Main ()
{
int a = 2, b = 3, c = 4, d = 5;
Console.Write(getX(a, b, c, d));
}
}
// The code is contributed by Tushil.
java 描述语言
<script>
// javascript implementation of the approach
// Function to return the
// required number X
function getX(a , b , c , d)
{
var X = (b * c - a * d) / (d - c);
return X;
}
// Driver code
var a = 2, b = 3, c = 4, d = 5;
document.write(getX(a, b, c, d));
// This code is contributed by 29AjayKumar
</script>
Output:
2
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