# Python Program to Add Two Numbers Without Using the “+” Operator

In the previous article, we have discussed Python Program to Find out the Arc Length of an Angle
In order to add two numbers without using the ‘+’ operator, we should use a mathematical formula.

Formula :

Let x, y are the given two numbers, then

x+y = x^2-y^2 = (x+y)(x-y)  if   (x!=y).

x+y = 2*x    (  if x=y )

Given two numbers and the task is to add the given two numbers without using the ‘+’ operator.

Examples:

Example 1:

Input:

Given First Number      =  65
Given Second Number = 45

Output:

The sum of given two numbers = 110.0

Example 2:

Input:

Given First Number      =  220.5
Given Second Number =  100

Output:

The sum of given two numbers = 320.5

## Program to Add Two Numbers Without Using the “+” Operator.

Below are the ways to add the given two numbers without using the ‘+’ operator.

### Method #1: Using Mathematical Formula (Static Input)

Approach:

• Give the first number as static input and store it in a variable.
• Give the second number as static input and store it in another variable.
• Check if the first number is not equal to the second number using the if conditional statement.
• If the statement is true, then print  the value of (fst_num*fst_num-sec_num*sec_num)/(fst_num-sec_num)
• Else print the value of (2*fst_num).
• The Exit of the program.

Below is the implementation:

# Give the first number as static input and store it in a variable.
fst_num = 2.5
# Give the second number as static input and store it in another variable.
sec_num = 8
# Check if the first number is not equal to the second number using the if conditional
# statement.
if fst_num != sec_num:
# If the statement is true, then print  the value of
# (fst_num*fst_num-sec_num*sec_num)/(fst_num-sec_num)
print("The sum of given two numbers =",
(fst_num*fst_num-sec_num*sec_num)/(fst_num-sec_num))
else:
# Else print the value of (2*fst_num).
print("The sum of given two numbers =", 2*fst_num)


Output:

The sum of given two numbers = 10.5

### Method #2: Using Mathematical Formula (User Input)

Approach:

• Give the first number as user input using the float(input()) function and store it in a variable.
• Give the second number as user input using the float(input()) function and store it in another variable.
• Check if the first number is not equal to the second number using the if conditional statement.
• If the statement is true, then print  the value of (fst_num*fst_num-sec_num*sec_num)/(fst_num-sec_num)
• Else print the value of (2*fst_num).
• The Exit of the program.

Below is the implementation:

# Give the first number as user input using the float(input()) function and
#store it in a variable.
fst_num = float(input("Enter some random number = "))
# Give the second number as user input using the float(input()) function and
#store it in another variable.
sec_num = float(input("Enter some random number = "))
# Check if the first number is not equal to the second number using the if conditional
# statement.
if fst_num != sec_num:
# If the statement is true, then print  the value of
# (fst_num*fst_num-sec_num*sec_num)/(fst_num-sec_num)
print("The sum of given two numbers =",
(fst_num*fst_num-sec_num*sec_num)/(fst_num-sec_num))
else:
# Else print the value of (2*fst_num).
print("The sum of given two numbers =", 2*fst_num)


Output:

Enter some random number = 50
Enter some random number = 70
The sum of given two numbers = 120.0

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