SOLUTION: The sum of two numbers is 33. Their difference is 9. What are the two numbers?

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Question 125705: The sum of two numbers is 33. Their difference is 9. What are the two numbers?
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
1. : The sum of two numbers is 33
2. : The difference of the same two numbers is 9

Add the two equations, term-by-term:




Multiply the first equation by -1


Add the second equation to this new equation




Check:



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
let numbers be and
if the sum of two numbers is , we have:

if their difference is , then we have:


to find out what are the two numbers, solve this system:
...........(1)
............(2)


solve (1) for
...........(1)
...........substitute in (2)

............solve for





then
...........
...........

check:
...........(1)


............(2)


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