The sum of two numbers is 63 their difference is 13 find the numbers

Answer 1

Let's call the two numbers x and y.

According to the given information, the sum of the two numbers is 63:

x + y = 63 .....(1)

The difference between the two numbers is 13:

x - y = 13 .....(2)

Now we have a system of two equations with two variables. We can solve this system to find the values of x and y.

To eliminate y, let's multiply Equation (2) by -1:

-(x - y) = -13
-x + y = -13

Let's add Equation (1) and (-(x - y)):

x + y + (-x + y) = 63 - 13
2y = 50

Divide both sides of the equation by 2:

y = 25

Now, substitute the value of y into Equation (1):

x + 25 = 63

Subtract 25 from both sides:

x = 63 - 25
x = 38

Therefore, the two numbers are 38 and 25.