Answer:
The two numbers are x = 8 and y = 5
Step-by-step explanation:
Let the two numbers be x and y
The difference of two numbers is 3 is represented as:
x - y = 3------------------Equation 1
Their sum is 13 is represented as:
x + y = 13----------------Equation 2
x - y = 3------------------Equation 1
Using method of Elimination by subtracting Equation 1 from Equation 2
x-x + y-(-y) = 13 - 3
2y = 10
y = 10/2
y = 5
Substituting y = 5 in Equation 2
x + 5 = 13
x = 13 - 5
x = 8
∴ The two numbers are x = 8 and y = 5
