Answer:
8 and 4
Step-by-step explanation:
Let's call one number x and the other 'y' using the information above we can form and solve an equation.
The sum of two numbers is 12:
x + y = 12
The difference between the two numbers is 4
x - y = 4
What are the two numbers, well lets solve the equation and find out
x + y = 12
x - y = 4
→ We can the 'x's together which will cancel out 'y'
2x = 16
→ Divide both sides by 2 to isolate 'x' and find the value of one number
x = 8
→ Substitute x = 8 into x + y = 12 to rearrange the equation and find the value of 'y' or the other number
8 + y = 12
→ Minus both sides by 8 to isolate 'y' and find the value of the other number
y = 4
So the two numbers are 4 and 8. Also we can check using the information provided in the question
"The sum of two numbers is 12" → Does 8 + 4 = 12 → Yes
"The difference between the numbers is 4" → Does 8 - 4 = 4 → Yes
So that confirms that 8 and 4 are the solutions to this question
