Answer:
The sum of two numbers is 45 and their difference is 12. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 45. In other words, x plus y equals 45 and can be written as equation A:
x + y = 45
The difference between x and y is 12. In other words, x minus y equals 12 and can be written as equation B:
x - y = 12
Now solve equation B for x to get the revised equation B:
x - y = 12
x = 12 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 45
12 + y + y = 45
12 + 2y = 45
2y = 33
y = 16.5
Now we know y is 16.5. Which means that we can substitute y for 16.5 in equation A and solve for x:
x + y = 45
x + 16.5 = 45
X = 28.5
Summary: The sum of two numbers is 45 and their difference is 12. What are the two numbers? Answer: 28.5 and 16.5 as proven here:
Sum: 28.5 + 16.5 = 45
Difference: 28.5 - 16.5 = 12
