The sum of two numbers is 65 and the difference is 13. what are the numbers?

Answer: 26 and 39

Step-by-step explanation:

Let the numbers be x and y. Also, let us take x as the larger number.

From the first statement:

x + y = 65 ... equation 1

From the second statement:

x - y = 13 ... equation 2

Solving the system of linear equation by elimination method. Let us eliminate y first, then we need to add the two equations to eliminate y, the equation then becomes

2x = 78

x = 39

substitute x = 39 into equation 1, that is

39 + y = 65

y = 65 - 39

y = 26

Therefore, the numbers are 26 and 39