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
