Question 827660
This is a basic systems of equations problem.

1. Write the problem in 2 equations:

x+y=65
x-y=5

Assuming x is the larger number and y is the smaller number

2. Cancel either the x's or y's multiply an equation if necessary:

We don't need to multiply any equations, because the y's already cancel to 0. We can now add the x's and the numbers on the outside:

2x=70

Solve for x

x=35

3. Substitute x=35 into any of the original equations (let's do the first one):

35+y=65

Solve for y:

y=65-35

y=30

4: Check

35+30=65
35-30=5

Both equations are correct!

Therefore, your ordered pair is [(35,30)]