Answer:
please mark me as brainliest answer
Step-by-step explanation:
The sum of two numbers is 17 and their difference is 5. 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 17. In other words, x plus y equals 17 and can be written as equation A:
x + y = 17
The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:
x - y = 5
Now solve equation B for x to get the revised equation B:
x - y = 5
x = 5 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 17
5 + y + y = 17
5 + 2y = 17
2y = 12
y = 6
Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x:
x + y = 17
x + 6 = 17
X = 11
Summary: The sum of two numbers is 17 and their difference is 5. What are the two numbers? Answer: 11 and 6 as proven here:
Sum: 11 + 6 = 17
Difference: 11 - 6 = 5
