Answer:
The two numbers are 8 and 5.
Explanation:
Consider the two numbers as x and y. From the given data, we write:
x−y=3
x+y=13
From the first equation, we determine a value for x.
x−y=3
Add y to both sides.
x=y+3
In the second equation, substitute x with (y+3).
x+y=13
(y+3)+y=13
Open the brackets and simplify.
y+3+y=13
2y+3=13
Subtract 3 from each side.
2y=10
Divide both sides by 2.
y=5
In the first equation, substitute y with 5.
x−y=3
x−5=3
Add 5 to each side.
x=8
