Let's solve the problem step by step:
Let the two numbers be 'x' and 'y'.
Given information:
- The sum of the two numbers is 25: x + y = 25.
- The difference between them is 15: x - y = 15.
We can form two equations based on the given information:
Equation 1: x + y = 25 Equation 2: x - y = 15
To solve the system of equations, we can add Equation 1 and Equation 2:
(x + y) + (x - y) = 25 + 15
Simplifying the equation, we get:
2x = 40
Divide both sides of the equation by 2:
x = 40 / 2
Simplify:
x = 20
Substitute the value of x into Equation 1 to find the value of y:
20 + y = 25
Subtract 20 from both sides of the equation:
y = 25 - 20
Simplify:
y = 5
Therefore, the two numbers are 20 and 5.
