Answer:
50 + 25 = 75
50 - 25 = 25
The numbers are 50 and 25
Explanation:
The sum of two numbers is 25 and their difference is 75. 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 25. In other words, x plus y equals 25 and can be written as equation A:
x + y = 75
The difference between x and y is 75. In other words, x minus y equals 75 and can be written as equation B:
x - y = 75
Now solve equation B for x to get the revised equation B:
x - y = 25
x = 25 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 75
25 + y + y = 75
25 + 2y = 75
2y = 50
y = 25
Now we know y is 25. Which means that we can substitute y for 25 in equation A and solve for x:
x + y = 75
x + 25 = 75
X = 50
Therefore,
Sum: 50 + 25 = 75
Difference: 50 - 25 = 25
Hope this helps! :D